en>Addbot: Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q3115500

2013-03-20T13:20:57Z

Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q3115500

← Older revision		Revision as of 15:20, 20 March 2013
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	~~Surely the second option would be more beneficial for any website~~. ~~You may discover this probably the most time~~-~~consuming part of building a Word~~ - Press MLM website. Wordpress Content management systems, being customer friendly, can be used extensively to write and manage websites and blogs. If you are using videos on your site then this is the plugin to use. Also our developers are well convergent with the latest technologies and bitty-gritty of wordpress website design and promises to deliver you the best solution that you can ever have. <br><br>~~Word~~ - ~~Press is known as~~ the ~~most popular blogging platform all over~~ the ~~web~~ and ~~is used by millions of blog enthusiasts worldwide~~. ~~Wordpress have every reason with it which promote wordpress development. This~~ is the ~~reason for~~ the ~~increased risk~~ of ~~Down Syndrome babies in women over age 35. So if you want to create blogs or have~~ a ~~website for your business or for personal reasons, you can take advantage of free Word~~ - ~~Press installation to get started~~. ~~If you adored this article and you would like to receive more info pertaining to [http:~~/~~/dinky~~.~~in/?WordpressBackupPlugin253258 wordpress backup plugin] please visit the internet site~~. ~~Aided by the completely foolproof j~~ - ~~Query color selector~~, ~~you're able to change~~ the ~~colors of factors~~ of ~~your theme~~ a the ~~click on~~ the ~~screen~~, ~~with very little previous web site design experience~~. ~~<br><br>Your Word - Press blog or site will~~ also ~~require~~ a ~~domain name which many hosting companies can also provide~~. The ~~following piece~~ of ~~content~~ is ~~meant to make your choice easier~~ and ~~reassure you that the decision~~ to ~~go ahead with this conversion is requited with rich benefits:. After age 35~~, ~~18%~~ of ~~pregnancies will end in miscarriage. You can allow visitors to post comments, or you can even allow your visitors to register~~ and ~~create their own personal blogs. Have you heard about niche marketing and advertising.~~ <br><br>It ~~has become a more prevalent cause~~ of ~~infertility and~~ the ~~fertility clinic are having more and more couples with infertility problems~~. ~~php file in~~ the ~~Word~~ - ~~Press root folder and look for this line~~ (~~line 73 in our example~~):. To do this, you should link your posts to other relevant posts that you've created. There are many advantages of hiring Wordpress developers for Wordpress project development:. If your site does well you can get paid professional designer to create a unique Word - ~~Press theme~~. <br><br>~~Someone with a basic knowledge~~ of ~~setting up a website should be able to complete~~ the ~~process in a couple~~ of ~~minutes however even basic users should find they are able to complete~~ the ~~installation in around 20 minutes by following the step by step guide online~~. ~~It can run as plugin and you can still get to that whole database just in circumstance your webhost does not have a c - Panel area~~. Must being, it's beneficial because I don't know about you, but loading an old website on a mobile, having to scroll down, up, and sideways' I find links being clicked and bounced around like I'm on a freaking trampoline. And, it is better that you leave it on for the ~~duration you are writing plugin code. Verify whether your company has a team of developers or programmers having hands-on experience and knowledge about all Word - Press concepts.~~		{{infobox graph
			\| name = Franklin Graph
			\| image = [[Image:Franklin graph hamiltonian.svg\|220px]]
			\| image_caption = The Franklin Graph
			\| namesake = [[Philip Franklin]]
			\| vertices = 12
			\| edges = 18
			\| automorphisms = 48 ([[Cyclic group\|'''Z'''/2'''Z''']]×[[Symmetric group\|''S''<sub>4</sub>]])
			\| girth = 4
			\| radius = 3
			\| diameter = 3
			\| chromatic_number = 2
			\| chromatic_index = 3
			\| properties = [[Cubic graph\|Cubic]]<br>[[Hamiltonian graph\|Hamiltonian]]<br>[[Bipartite graph\|Bipartite]]<br>[[Triangle-free graph\|Triangle-free]]<br>[[Perfect graph\|Perfect]]<br>[[vertex-transitive graph\|Vertex-transitive]]
			}}
			In the [[mathematics\|mathematical]] field of [[graph theory]], the '''Franklin graph''' a 3-[[regular graph]] with 12 vertices and 18 edges.<ref>{{MathWorld\|urlname=FranklinGraph\|title= Franklin Graph}}</ref>

			The Franklin graph is named after [[Philip Franklin]], who disproved the [[Heawood conjecture]] on the number of colors needed when a two-dimensional surface is partitioned into cells by a [[graph embedding]].<ref>{{MathWorld\|urlname=HeawoodConjecture\|title=Heawood conjecture}}</ref><ref>Franklin, P. "A Six Color Problem." J. Math. Phys. 13, 363-379, 1934.</ref> The Heawood conjecture implied that the maximum chromatic number of a map on the [[Klein bottle]] should be seven, but Franklin proved that in this case six colors always suffice. The Franklin graph can be embedded onto the Klein bottle so that it forms a map requiring six colors, showing that six colors are sometimes necessary in this case.

			It is [[Hamiltonian graph\|Hamiltonian]] and has [[chromatic number]] 2, [[chromatic index]] 3, radius 3, diameter 3 and [[girth (graph theory)\|girth]] 4. It is also a 3-[[k-vertex-connected graph\|vertex-connected]] and 3-[[k-edge-connected graph\|edge-connected]] [[perfect graph]].

			==Algebraic properties==
			The [[Graph automorphism\|automorphism group]] of the Franklin graph is of order 48 and is isomorphic to '''Z'''/2'''Z'''×''S''<sub>4</sub>, the [[group direct product\|direct product]] of the [[cyclic group]] '''Z'''/2'''Z''' and the [[symmetric group]] ''S''<sub>4</sub>. It acts transitively on the vertices of the graph, making it [[vertex-transitive graph\|vertex-transitive]].

			The [[characteristic polynomial]] of the Franklin graph is
			:<math>(x-3) (x-1)^3 (x+1)^3 (x+3) (x^2-3)^2.\ </math>

			==Gallery==
			<gallery>
			Image: Franklin graph 2COL.svg \|The [[chromatic number]] of the Franklin graph is 2.
			Image: Franklin graph 3color edge.svg\|The [[chromatic index]] of the Franklin graph is 3.
			Image:franklin_graph.svg\|Alternative drawing of the Franklin graph
			</gallery>

			{{commons category\|Franklin graph}}

			== References ==
			{{reflist}}

			{{DEFAULTSORT:Franklin Graph}}
			[[Category:Individual graphs]]
			[[Category:Regular graphs]]

en>Nathann.cohen: Adding a picture showing the graph's 4 orbits

2012-05-15T19:05:36Z

Adding a picture showing the graph's 4 orbits

New page

Surely the second option would be more beneficial for any website. You may discover this probably the most time-consuming part of building a Word - Press MLM website. Wordpress Content management systems, being customer friendly, can be used extensively to write and manage websites and blogs. If you are using videos on your site then this is the plugin to use. Also our developers are well convergent with the latest technologies and bitty-gritty of wordpress website design and promises to deliver you the best solution that you can ever have. Word - Press is known as the most popular blogging platform all over the web and is used by millions of blog enthusiasts worldwide. Wordpress have every reason with it which promote wordpress development. This is the reason for the increased risk of Down Syndrome babies in women over age 35. So if you want to create blogs or have a website for your business or for personal reasons, you can take advantage of free Word - Press installation to get started. If you adored this article and you would like to receive more info pertaining to [http://dinky.in/?WordpressBackupPlugin253258 wordpress backup plugin] please visit the internet site. Aided by the completely foolproof j - Query color selector, you're able to change the colors of factors of your theme a the click on the screen, with very little previous web site design experience. Your Word - Press blog or site will also require a domain name which many hosting companies can also provide. The following piece of content is meant to make your choice easier and reassure you that the decision to go ahead with this conversion is requited with rich benefits:. After age 35, 18% of pregnancies will end in miscarriage. You can allow visitors to post comments, or you can even allow your visitors to register and create their own personal blogs. Have you heard about niche marketing and advertising. It has become a more prevalent cause of infertility and the fertility clinic are having more and more couples with infertility problems. php file in the Word - Press root folder and look for this line (line 73 in our example):. To do this, you should link your posts to other relevant posts that you've created. There are many advantages of hiring Wordpress developers for Wordpress project development:. If your site does well you can get paid professional designer to create a unique Word - Press theme. Someone with a basic knowledge of setting up a website should be able to complete the process in a couple of minutes however even basic users should find they are able to complete the installation in around 20 minutes by following the step by step guide online. It can run as plugin and you can still get to that whole database just in circumstance your webhost does not have a c - Panel area. Must being, it's beneficial because I don't know about you, but loading an old website on a mobile, having to scroll down, up, and sideways' I find links being clicked and bounced around like I'm on a freaking trampoline. And, it is better that you leave it on for the duration you are writing plugin code. Verify whether your company has a team of developers or programmers having hands-on experience and knowledge about all Word - Press concepts.

Harries graph - Revision history

en>Addbot: Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q3115500

en>Nathann.cohen: Adding a picture showing the graph's 4 orbits