2009 West Java earthquake - Revision history

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2014-07-26T18:51:10Z

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	~~{{infobox graph~~		Handbags is one of the very most functional accessories.<br><br>Girls choose plenty of effort selecting their pocketbook to match their ensembles. Additionally they take much time to choose the pocket book together with the colour of their outfit. For folks who do believe in taking staff that is an excessive amount of with them, there are vibrant and attractive coin purses and clutch bags to choose from.<br><br>In contrast to a pocketbook which has straps clutch bags don't have some handles or straps. They are primarily used as night bags to take make-up and only a few trinkets and are taken under the arm. Many individuals use pocket books to carry lots of items like pocketbooks, coin purses, appointment guides, makeup along with other items that are personal.<br>Organizer bags are perfect for this goal as these bags feature lots of convenient pockets and compartments. Handbags which feature a top, a flat-bottom and also a top close carry handle are satchels. The side profile of a satchel is generally triangular. Watch bracelet [http://tinyurl.com/nqbkz6z uggs on sale] the other hand is a tiny wallet or a clutch which is attached into a small loop that may go around your wrist.<br><br>A barrel bag however is cylindrical in form as its name suggests. You'll find exciting purses that are not wide and resemble a French bread loaf. These bags are named as Baguettes. [http://tinyurl.com/nqbkz6z ugg boots sale] Perhaps you are seeking an exceptional and environmentally friendly straw or an elegant leather satchel or cloth bag or perhaps a sequined bag that is fashionable and modern. You will find many handbag fashions and choose from them to fit your personality and add charming to your own ensembles.<br><br>Backpack handbag is a bigger bag which is supposed to be taken like a backpack. This tote design features two straps that you can either sling the bag [http://tinyurl.com/nqbkz6z uggs on sale] one or both sides of your shoulder. A purse that is classy brings to a fantastic extent to nature and your style.<br>The purse style you choose from hundreds and thousands of designs and colors can be chosen by you. Each bag style comes with its attributes that are unique. Stores selling handbags, whether online or offline, feature a number of handbag designs from leading designer brands and local labels.<br><br>One of the fascinating handbag styles is the Hobo. Hobos are shoulder bags with a lengthy shoulder strap. They are scooped in the heart and are slouchy to take a look at. Evening clutch bags made from hard circumstance and [http://tinyurl.com/nqbkz6z ugg outlet] adorned with sequins that are appealing, crystals and beads are identified as Minaudiere.<br>For individuals that aren't fond of pocketbooks dangling from their shoulders and also want their fingers to be free, [http://Www.Wonderhowto.com/search/cross+body/ cross body] bags are the perfect selection. These bags can be worn over the body leaving the hands-free. Ideal Fanny [http://tinyurl.com/nqbkz6z ugg outlet] pack also known as the waist pack for those who take part in outdoor activities including running and trekking, is the ideal choice.<br><br>This bag could be worn [http://tinyurl.com/nqbkz6z uggs on sale] the waist and is quite useful for carrying little, essential items. There are fabrics, designs, many attractive hand bag styles and colours accessible the marketplace. Purses are certainly one of the accessories that are best and you can have a collection of them to be employed for different events and functions.
	~~\| name = Holt graph~~
	~~\| image = [[File:Holt graph.svg\|220px]]~~
	~~\| image_caption = In~~ the ~~Holt graph, all vertices are equivalent, and all edges are equivalent, but edges are not necessarily equivalent to their inverses.~~
	~~\| namesake = Derek F~~. ~~Holt~~
	~~\| vertices = 27~~
	~~\| edges = 54~~
	~~\| automorphisms= 54~~
	~~\| girth = 5~~
	~~\| diameter = 3~~
	~~\| radius = 3~~
	~~\| chromatic_number = 3~~
	~~\| chromatic_index = 5~~
	~~\| properties = [[Vertex-transitive graph\|Vertex-transitive]]~~<br>~~[[Edge-transitive graph\|Edge-transitive]]~~<br>~~[[Half-transitive graph\|Half-transitive]]~~<br>~~[[Hamiltonian graph\|Hamiltonian]]<br>[[Eulerian graph\|Eulerian]]~~<br>~~[[Cayley graph]]~~
	}}
	In the ~~[[mathematics\|mathematical]] field~~ of ~~[[graph theory]]~~, ~~the '''Holt graph''' or '''Doyle graph''' is the smallest [[half-transitive graph]]~~, that is, ~~the smallest example of~~ a ~~[[Vertex~~-~~transitive graph\|vertex-transitive]]~~ and [~~[Edge-transitive graph\|edge-transitive~~]~~] graph~~ which is ~~not also [[symmetric graph\|symmetric]]~~.<~~ref~~>~~Doyle, P~~. ~~"A 27-Vertex Graph That Is Vertex-Transitive~~ and ~~Edge-Transitive But Not L-Transitive~~.~~" October 1998~~. [http://~~arxiv~~.~~org/abs/math/0703861~~/]<~~/ref~~><~~ref~~>~~{{citation\|title=Constructing Graphs~~ which ~~are ½-Transitive\|first1=Brian\|last1=Alspach\|first2=Dragan\|last2=Marušič\|first3=Lewis\|last3=Nowitz\|journal=[~~[~~Journal of the Australian Mathematical Society]] (Series A)\|volume=56\|issue=3\|pages=391–402\|year=1994\|doi=10.1017/S1446788700035564\|url=~~http://~~anziamj.austms.org~~.au/~~JAMSA/V56/Part3/Alspach~~.~~html}}~~.<~~/ref~~> ~~Such graphs~~ are ~~not common.<ref>Jonathan L~~. ~~Gross~~, ~~Jay Yellen~~, ~~''Handbook~~ of ~~Graph Theory'', CRC Press, 2004, ISBN 1-58488-090-2, p. 491~~.<~~/ref~~> It is ~~named after Peter G~~. ~~Doyle and Derek F~~. ~~Holt, who discovered~~ the ~~same graph independently in 1976<ref>{{citation\|first=P. G~~.~~\|last=Doyle\|title=On Transitive Graphs\|series=Senior Thesis\|publisher=Harvard College\|year=1976}}. As cited by MathWorld.</ref>~~ and ~~1981<ref name="holt">{{citation\|title=A graph which is edge transitive but not arc transitive\|first=Derek F.\|last=Holt\|journal=~~[~~[Journal of Graph Theory]]\|volume=5\|issue=2\|pages=201–204\|year=1981\|doi=10~~.~~1002~~/~~jgt.3190050210}}~~.<~~/ref~~> ~~respectively.~~

	~~The Holt Graph has [[graph diameter\|diameter]] 3, radius 3~~ and ~~[[girth (graph theory)\|girth]] 5~~, [~~[chromatic number]] 3, [[chromatic index]] 5 and is [[Hamiltonian graph\|Hamiltonian]] with {{formatnum~~:~~98472}} distinct Hamiltonian cycles~~.~~<ref name="Mathworld">{{MathWorld\|urlname=DoyleGraph\|title=Doyle Graph}}<~~/~~ref> It is also a 4-[[k-vertex-connected graph\|vertex-connected~~]~~] and a 4~~-~~[[k-edge-connected graph\|edge-connected]] graph~~.

	~~It has an~~ [~~[graph automorphism\|automorphism group]] of order 54 automorphisms~~.~~<ref name="Mathworld"~~/~~> This is a smaller group than a symmetric graph with~~ the ~~same number of vertices~~ and ~~edges would have. The graph drawing on the right highlights this~~, ~~in that it lacks reflectional symmetry.~~

	~~The characteristic polynomial of~~ the ~~Holt graph is~~
	~~:<math>(x^3-6x+2)^6(x+2)^4(x-1)^4(x-4)~~.\ <~~/math~~>

	~~==Gallery==~~
	<~~gallery~~>
	~~Image~~:~~Holt graph 3COL~~.~~svg\|The [[chromatic number~~]~~] of~~ the ~~Holt graph~~ is~~ 3~~.
	~~Image:Holt graph 5color edge~~.~~svg\|The [[chromatic index]]~~ of the ~~Holt graph is 5.~~
	~~Image:Holt graph hamiltonian~~.~~svg\|The Holt graph is [[Hamiltonian graph\|Hamiltonian]].~~
	~~</gallery>~~

	~~== References ==~~
	~~{{reflist}}~~

	~~[[Category:Individual graphs]]~~
	~~[[Category:Regular graphs]]~~

en>Quebec99: fixed reference

2013-05-12T18:43:09Z

fixed reference

← Older revision		Revision as of 20:43, 12 May 2013
Line 1:		Line 1:
			{{infobox graph
			\| name = Holt graph
			\| image = [[File:Holt graph.svg\|220px]]
			\| image_caption = In the Holt graph, all vertices are equivalent, and all edges are equivalent, but edges are not necessarily equivalent to their inverses.
			\| namesake = Derek F. Holt
			\| vertices = 27
			\| edges = 54
			\| automorphisms= 54
			\| girth = 5
			\| diameter = 3
			\| radius = 3
			\| chromatic_number = 3
			\| chromatic_index = 5
			\| properties = [[Vertex-transitive graph\|Vertex-transitive]]<br>[[Edge-transitive graph\|Edge-transitive]]<br>[[Half-transitive graph\|Half-transitive]]<br>[[Hamiltonian graph\|Hamiltonian]]<br>[[Eulerian graph\|Eulerian]]<br>[[Cayley graph]]
			}}
			In the [[mathematics\|mathematical]] field of [[graph theory]], the '''Holt graph''' or '''Doyle graph''' is the smallest [[half-transitive graph]], that is, the smallest example of a [[Vertex-transitive graph\|vertex-transitive]] and [[Edge-transitive graph\|edge-transitive]] graph which is not also [[symmetric graph\|symmetric]].<ref>Doyle, P. "A 27-Vertex Graph That Is Vertex-Transitive and Edge-Transitive But Not L-Transitive." October 1998. [http://arxiv.org/abs/math/0703861/]</ref><ref>{{citation\|title=Constructing Graphs which are ½-Transitive\|first1=Brian\|last1=Alspach\|first2=Dragan\|last2=Marušič\|first3=Lewis\|last3=Nowitz\|journal=[[Journal of the Australian Mathematical Society]] (Series A)\|volume=56\|issue=3\|pages=391–402\|year=1994\|doi=10.1017/S1446788700035564\|url=http://anziamj.austms.org.au/JAMSA/V56/Part3/Alspach.html}}.</ref> Such graphs are not common.<ref>Jonathan L. Gross, Jay Yellen, ''Handbook of Graph Theory'', CRC Press, 2004, ISBN 1-58488-090-2, p. 491.</ref> It is named after Peter G. Doyle and Derek F. Holt, who discovered the same graph independently in 1976<ref>{{citation\|first=P. G.\|last=Doyle\|title=On Transitive Graphs\|series=Senior Thesis\|publisher=Harvard College\|year=1976}}. As cited by MathWorld.</ref> and 1981<ref name="holt">{{citation\|title=A graph which is edge transitive but not arc transitive\|first=Derek F.\|last=Holt\|journal=[[Journal of Graph Theory]]\|volume=5\|issue=2\|pages=201–204\|year=1981\|doi=10.1002/jgt.3190050210}}.</ref> respectively.

			The Holt Graph has [[graph diameter\|diameter]] 3, radius 3 and [[girth (graph theory)\|girth]] 5, [[chromatic number]] 3, [[chromatic index]] 5 and is [[Hamiltonian graph\|Hamiltonian]] with {{formatnum:98472}} distinct Hamiltonian cycles.<ref name="Mathworld">{{MathWorld\|urlname=DoyleGraph\|title=Doyle Graph}}</ref> It is also a 4-[[k-vertex-connected graph\|vertex-connected]] and a 4-[[k-edge-connected graph\|edge-connected]] graph.

	~~Nobody ever got criticised for bringing in someone famous, who'd videos~~ of ~~himself or herself in her or his heyday - or, the clips might be of those under the speaker's or her tutelage in the event he is a trainer instead of a performer~~.<br>On the other hand, if you are looking at methods to produce teams and cause them to become much more powerful the next day than they were before the speaker stood up, them I think I will [http://tinyurl.com/nqbkz6z ugg boots outlet] have to reply "no"~~. Indeed, it would not matter if that was your goal, who the speaker is.<br~~>~~<br>The only way for teams to make changes that are significant and sustainable to their behaviors that are working~~ is ~~in order for them to to discover the advancements for themselves. And as groups as well, rather~~ than as a ~~set~~ of ~~individuals. Loudspeakers talk as teams~~ and ~~never to an audience as people~~.~~<br><br>And also the act of speaking, however entertaining and no matter~~ the ~~level to which the crowd are encouraged to get [http://tinyurl.com/nqbkz6z ugg boots] concerned~~, ~~is basically a mainly passive and one way thing~~. ~~Where~~ the ~~response can become "yes"~~ is ~~when the techniques are not just talked about, but really used with actual teams in a indiana team building environment.~~<br>~~<br>Team~~-building tasks are, as the next word in the description suggests, energetic, although Conference talking may be passive. And active, in turn, means that the participants may take place as a team. They are given a chance to learn for themselves by that and that's something I am very much in favour of.<br><br>~~But how suitable is it [http~~:~~//tinyurl~~.~~com/nqbkz6z ugg boots usa~~] ~~to get some one from a [http://Www.dict.cc/englisch-deutsch/totally.html totally~~] ~~different planet to give advice to a group~~ of ~~company-oriented members of personnel~~. ~~Will they get anything useful from it at work to them, [http~~:~~//tinyurl~~.~~com/nqbkz6z cheap ugg boots~~] ~~although they may love it and get a buzz out~~ of ~~meeting someone who they might have admired from afar from some time?<br><br>My viewpoint is~~ the ~~fact that it~~ is ~~dependent upon what your aims are for encouraging the guest speaker along in the first place~~. If it's to inspire your people, to send them away raring to get back to work and get their teeth steadfastly into the jobs which will have built up while they've been attending the conference, then the solution is ~~a firm "yes".<br><br>These kind of demos are consistently fascinating and, in my own experience, always leave people with a sense of "yes, I could do that" that uplifts a-team long enough~~ [~~http://tinyurl.com/nqbkz6z ugg boots usa~~] to have at least a little, and hopefully bigger, effect back where it matters. If talking at people, alone, created positive and actual change in groups, then it might never be necessary to ever operate a-team building event.<br><br>Having worked in the industry for many, many years there are few, if any, team periods that present any surprised or my facilitation team colleagues. Having had the benefit of a good briefing from our client contacts, we likely understand exactly what the team issues are well enough at the onset of the action to just stand up and say "Here are your learning factors".<br><br>But that would not have any effect. Learning is necessary for groups to take possession of the [~~http~~:~~//tinyurl.com/nqbkz6z ugg boots outlet~~] ~~changes and education isn't learning. Learning calls for proactive effort and~~ [~~http~~:~~//www.guardian.co.uk/search?q=understanding understanding~~] ~~on behalf of these included and favorable change demands it to be bought in to by all associates.~~		It has an [[graph automorphism\|automorphism group]] of order 54 automorphisms.<ref name="Mathworld"/> This is a smaller group than a symmetric graph with the same number of vertices and edges would have. The graph drawing on the right highlights this, in that it lacks reflectional symmetry.

			The characteristic polynomial of the Holt graph is
			:<math>(x^3-6x+2)^6(x+2)^4(x-1)^4(x-4).\ </math>

			==Gallery==
			<gallery>
			Image:Holt graph 3COL.svg\|The [[chromatic number]] of the Holt graph is 3.
			Image:Holt graph 5color edge.svg\|The [[chromatic index]] of the Holt graph is 5.
			Image:Holt graph hamiltonian.svg\|The Holt graph is [[Hamiltonian graph\|Hamiltonian]].
			</gallery>

			== References ==
			{{reflist}}

			[[Category:Individual graphs]]
			[[Category:Regular graphs]]

en>Stormchaser89: /* External links */

2012-06-19T02:31:16Z

External links

New page

Nobody ever got criticised for bringing in someone famous, who'd videos of himself or herself in her or his heyday - or, the clips might be of those under the speaker's or her tutelage in the event he is a trainer instead of a performer. On the other hand, if you are looking at methods to produce teams and cause them to become much more powerful the next day than they were before the speaker stood up, them I think I will [http://tinyurl.com/nqbkz6z ugg boots outlet] have to reply "no". Indeed, it would not matter if that was your goal, who the speaker is. The only way for teams to make changes that are significant and sustainable to their behaviors that are working is in order for them to to discover the advancements for themselves. And as groups as well, rather than as a set of individuals. Loudspeakers talk as teams and never to an audience as people. And also the act of speaking, however entertaining and no matter the level to which the crowd are encouraged to get [http://tinyurl.com/nqbkz6z ugg boots] concerned, is basically a mainly passive and one way thing. Where the response can become "yes" is when the techniques are not just talked about, but really used with actual teams in a indiana team building environment. Team-building tasks are, as the next word in the description suggests, energetic, although Conference talking may be passive. And active, in turn, means that the participants may take place as a team. They are given a chance to learn for themselves by that and that's something I am very much in favour of. But how suitable is it [http://tinyurl.com/nqbkz6z ugg boots usa] to get some one from a [http://Www.dict.cc/englisch-deutsch/totally.html totally] different planet to give advice to a group of company-oriented members of personnel. Will they get anything useful from it at work to them, [http://tinyurl.com/nqbkz6z cheap ugg boots] although they may love it and get a buzz out of meeting someone who they might have admired from afar from some time? My viewpoint is the fact that it is dependent upon what your aims are for encouraging the guest speaker along in the first place. If it's to inspire your people, to send them away raring to get back to work and get their teeth steadfastly into the jobs which will have built up while they've been attending the conference, then the solution is a firm "yes". These kind of demos are consistently fascinating and, in my own experience, always leave people with a sense of "yes, I could do that" that uplifts a-team long enough [http://tinyurl.com/nqbkz6z ugg boots usa] to have at least a little, and hopefully bigger, effect back where it matters. If talking at people, alone, created positive and actual change in groups, then it might never be necessary to ever operate a-team building event. Having worked in the industry for many, many years there are few, if any, team periods that present any surprised or my facilitation team colleagues. Having had the benefit of a good briefing from our client contacts, we likely understand exactly what the team issues are well enough at the onset of the action to just stand up and say "Here are your learning factors". But that would not have any effect. Learning is necessary for groups to take possession of the [http://tinyurl.com/nqbkz6z ugg boots outlet] changes and education isn't learning. Learning calls for proactive effort and [http://www.guardian.co.uk/search?q=understanding understanding] on behalf of these included and favorable change demands it to be bought in to by all associates.

← Older revision		Revision as of 20:51, 26 July 2014
Line 1:		Line 1:
	~~{{infobox graph~~		Handbags is one of the very most functional accessories.<br><br>Girls choose plenty of effort selecting their pocketbook to match their ensembles. Additionally they take much time to choose the pocket book together with the colour of their outfit. For folks who do believe in taking staff that is an excessive amount of with them, there are vibrant and attractive coin purses and clutch bags to choose from.<br><br>In contrast to a pocketbook which has straps clutch bags don't have some handles or straps. They are primarily used as night bags to take make-up and only a few trinkets and are taken under the arm. Many individuals use pocket books to carry lots of items like pocketbooks, coin purses, appointment guides, makeup along with other items that are personal.<br>Organizer bags are perfect for this goal as these bags feature lots of convenient pockets and compartments. Handbags which feature a top, a flat-bottom and also a top close carry handle are satchels. The side profile of a satchel is generally triangular. Watch bracelet [http://tinyurl.com/nqbkz6z uggs on sale] the other hand is a tiny wallet or a clutch which is attached into a small loop that may go around your wrist.<br><br>A barrel bag however is cylindrical in form as its name suggests. You'll find exciting purses that are not wide and resemble a French bread loaf. These bags are named as Baguettes. [http://tinyurl.com/nqbkz6z ugg boots sale] Perhaps you are seeking an exceptional and environmentally friendly straw or an elegant leather satchel or cloth bag or perhaps a sequined bag that is fashionable and modern. You will find many handbag fashions and choose from them to fit your personality and add charming to your own ensembles.<br><br>Backpack handbag is a bigger bag which is supposed to be taken like a backpack. This tote design features two straps that you can either sling the bag [http://tinyurl.com/nqbkz6z uggs on sale] one or both sides of your shoulder. A purse that is classy brings to a fantastic extent to nature and your style.<br>The purse style you choose from hundreds and thousands of designs and colors can be chosen by you. Each bag style comes with its attributes that are unique. Stores selling handbags, whether online or offline, feature a number of handbag designs from leading designer brands and local labels.<br><br>One of the fascinating handbag styles is the Hobo. Hobos are shoulder bags with a lengthy shoulder strap. They are scooped in the heart and are slouchy to take a look at. Evening clutch bags made from hard circumstance and [http://tinyurl.com/nqbkz6z ugg outlet] adorned with sequins that are appealing, crystals and beads are identified as Minaudiere.<br>For individuals that aren't fond of pocketbooks dangling from their shoulders and also want their fingers to be free, [http://Www.Wonderhowto.com/search/cross+body/ cross body] bags are the perfect selection. These bags can be worn over the body leaving the hands-free. Ideal Fanny [http://tinyurl.com/nqbkz6z ugg outlet] pack also known as the waist pack for those who take part in outdoor activities including running and trekking, is the ideal choice.<br><br>This bag could be worn [http://tinyurl.com/nqbkz6z uggs on sale] the waist and is quite useful for carrying little, essential items. There are fabrics, designs, many attractive hand bag styles and colours accessible the marketplace. Purses are certainly one of the accessories that are best and you can have a collection of them to be employed for different events and functions.
	~~\| name = Holt graph~~
	~~\| image = [[File:Holt graph.svg\|220px]]~~
	~~\| image_caption = In~~ the ~~Holt graph, all vertices are equivalent, and all edges are equivalent, but edges are not necessarily equivalent to their inverses.~~
	~~\| namesake = Derek F~~. ~~Holt~~
	~~\| vertices = 27~~
	~~\| edges = 54~~
	~~\| automorphisms= 54~~
	~~\| girth = 5~~
	~~\| diameter = 3~~
	~~\| radius = 3~~
	~~\| chromatic_number = 3~~
	~~\| chromatic_index = 5~~
	~~\| properties = [[Vertex-transitive graph\|Vertex-transitive]]~~<br>~~[[Edge-transitive graph\|Edge-transitive]]~~<br>~~[[Half-transitive graph\|Half-transitive]]~~<br>~~[[Hamiltonian graph\|Hamiltonian]]<br>[[Eulerian graph\|Eulerian]]~~<br>~~[[Cayley graph]]~~
	}}
	In the ~~[[mathematics\|mathematical]] field~~ of ~~[[graph theory]]~~, ~~the '''Holt graph''' or '''Doyle graph''' is the smallest [[half-transitive graph]]~~, that is, ~~the smallest example of~~ a ~~[[Vertex~~-~~transitive graph\|vertex-transitive]]~~ and [~~[Edge-transitive graph\|edge-transitive~~]~~] graph~~ which is ~~not also [[symmetric graph\|symmetric]]~~.<~~ref~~>~~Doyle, P~~. ~~"A 27-Vertex Graph That Is Vertex-Transitive~~ and ~~Edge-Transitive But Not L-Transitive~~.~~" October 1998~~. [http://~~arxiv~~.~~org/abs/math/0703861~~/]<~~/ref~~><~~ref~~>~~{{citation\|title=Constructing Graphs~~ which ~~are ½-Transitive\|first1=Brian\|last1=Alspach\|first2=Dragan\|last2=Marušič\|first3=Lewis\|last3=Nowitz\|journal=[~~[~~Journal of the Australian Mathematical Society]] (Series A)\|volume=56\|issue=3\|pages=391–402\|year=1994\|doi=10.1017/S1446788700035564\|url=~~http://~~anziamj.austms.org~~.au/~~JAMSA/V56/Part3/Alspach~~.~~html}}~~.<~~/ref~~> ~~Such graphs~~ are ~~not common.<ref>Jonathan L~~. ~~Gross~~, ~~Jay Yellen~~, ~~''Handbook~~ of ~~Graph Theory'', CRC Press, 2004, ISBN 1-58488-090-2, p. 491~~.<~~/ref~~> It is ~~named after Peter G~~. ~~Doyle and Derek F~~. ~~Holt, who discovered~~ the ~~same graph independently in 1976<ref>{{citation\|first=P. G~~.~~\|last=Doyle\|title=On Transitive Graphs\|series=Senior Thesis\|publisher=Harvard College\|year=1976}}. As cited by MathWorld.</ref>~~ and ~~1981<ref name="holt">{{citation\|title=A graph which is edge transitive but not arc transitive\|first=Derek F.\|last=Holt\|journal=~~[~~[Journal of Graph Theory]]\|volume=5\|issue=2\|pages=201–204\|year=1981\|doi=10~~.~~1002~~/~~jgt.3190050210}}~~.<~~/ref~~> ~~respectively.~~

	~~The Holt Graph has [[graph diameter\|diameter]] 3, radius 3~~ and ~~[[girth (graph theory)\|girth]] 5~~, [~~[chromatic number]] 3, [[chromatic index]] 5 and is [[Hamiltonian graph\|Hamiltonian]] with {{formatnum~~:~~98472}} distinct Hamiltonian cycles~~.~~<ref name="Mathworld">{{MathWorld\|urlname=DoyleGraph\|title=Doyle Graph}}<~~/~~ref> It is also a 4-[[k-vertex-connected graph\|vertex-connected~~]~~] and a 4~~-~~[[k-edge-connected graph\|edge-connected]] graph~~.

	~~It has an~~ [~~[graph automorphism\|automorphism group]] of order 54 automorphisms~~.~~<ref name="Mathworld"~~/~~> This is a smaller group than a symmetric graph with~~ the ~~same number of vertices~~ and ~~edges would have. The graph drawing on the right highlights this~~, ~~in that it lacks reflectional symmetry.~~

	~~The characteristic polynomial of~~ the ~~Holt graph is~~
	~~:<math>(x^3-6x+2)^6(x+2)^4(x-1)^4(x-4)~~.\ <~~/math~~>

	~~==Gallery==~~
	<~~gallery~~>
	~~Image~~:~~Holt graph 3COL~~.~~svg\|The [[chromatic number~~]~~] of~~ the ~~Holt graph~~ is~~ 3~~.
	~~Image:Holt graph 5color edge~~.~~svg\|The [[chromatic index]]~~ of the ~~Holt graph is 5.~~
	~~Image:Holt graph hamiltonian~~.~~svg\|The Holt graph is [[Hamiltonian graph\|Hamiltonian]].~~
	~~</gallery>~~

	~~== References ==~~
	~~{{reflist}}~~

	~~[[Category:Individual graphs]]~~
	~~[[Category:Regular graphs]]~~