Password Authenticated Key Exchange by Juggling - Revision history

en>Yobot: /* Security properties */WP:CHECKWIKI error fixes using AWB (10538)

2014-12-27T09:06:10Z

Security properties: WP:CHECKWIKI error fixes using AWB (10538)

← Older revision		Revision as of 11:06, 27 December 2014
Line 1:		Line 1:
	~~In order to select the best search engine submission organization~~, ~~you have to understand what to anticipate~~, and ~~the minimum requirements for a fruitful search engine marketing technique~~. <br><br>We consequently recommend that you study about search engine optimization, as a way to choose the best positioning service, you"ve to understand what to anticipate, and the minimum requirements for a fruitful search engine submission. <br><br>There are numerous search engine submission companies in India. They provide online search engine marketing companies and search engine advertising solutions. Most of them follow current practices on the market. <br><br>You must pick a search-engine submission company, that has a long period of experience within this field and have already been able to make their presence felt by ~~providing effective and efficient Services~~ to ~~Internet to their customers. Seem for updated strategies and processes to head in the proper direction and obtain the most useful ser-vices for you~~. <br><br>~~Avoid a search engine submission company offering the opportunity~~ to you for "aggressive submission" o-r offering any unrealistic guarantees for minimal cost. Watch out for any internet search engine submission company that talks about utilizing the following strategies to get you greater exposure: <br><br>Darkness o-r additional domain names employed for search engine ranking purposes <br><br>Pages setup just to rank very with no or little use for your users <br><br>Pages that quickly direct to a different page o-r web site ~~<br><br>Hidden text or links. Identify further on~~ [~~https~~://~~plus.google~~.com/u/0/+TylerCollinsSEO/posts/QxpEZb5dazU visit search engine optimization] by navigating to our fine use with. <br><br>Any page that shows something to a se and another for your customers <br><br>Replicate pages <br><br>Make sure to ask the search engine submission organization for proof benefits obtained for their own web site with their customers. Look out for any organization using any illegal ways for temporary success; in fact, it"s highly likely that they will be banned from the most important search engines in time..<br><br>If you cherished this informative article in addition to you would like to receive more details about [https://FultonkjYezkb.jux.com affordable health insurance] ~~i implore you to pay a visit to our own web site.~~		52 year-old Biochemist Tollison from Colonsay, spends time with interests which include individuals watching, acne cream and digital photography. Finds motivation by planning to Upper Svaneti.<br><br>Feel free to visit my site; [http://n4g.com/user/home/Logan7731qxy5 best acne cream during pregnancy]

en>BG19bot: WP:CHECKWIKI error fix for #61. Punctuation goes before References. Do general fixes if a problem exists. - using AWB (9916)

2014-02-09T22:30:45Z

WP:CHECKWIKI error fix for #61. Punctuation goes before References. Do general fixes if a problem exists. - using AWB (9916)

← Older revision		Revision as of 00:30, 10 February 2014
Line 1:		Line 1:
	~~[[Image:Graph star coloring.svg\|thumb\|right\|300px\|The star chromatic number of [[Dyck graph]] is 4, while~~ the ~~chromatic number is 2.]]~~		In order to select the best search engine submission organization, you have to understand what to anticipate, and the minimum requirements for a fruitful search engine marketing technique. <br><br>We consequently recommend that you study about search engine optimization, as a way to choose the best positioning service, you"ve to understand what to anticipate, and the minimum requirements for a fruitful search engine submission. <br><br>There are numerous search engine submission companies in India. They provide online search engine marketing companies and search engine advertising solutions. Most of them follow current practices on the market. <br><br>You must pick a search-engine submission company, that has a long period of experience within this field and have already been able to make their presence felt by providing effective and efficient Services to Internet to their customers. Seem for updated strategies and processes to head in the proper direction and obtain the most useful ser-vices for you. <br><br>Avoid a search engine submission company offering the opportunity to you for "aggressive submission" o-r offering any unrealistic guarantees for minimal cost. Watch out for any internet search engine submission company that talks about utilizing the following strategies to get you greater exposure: <br><br>Darkness o-r additional domain names employed for search engine ranking purposes <br><br>Pages setup just to rank very with no or little use for your users <br><br>Pages that quickly direct to a different page o-r web site <br><br>Hidden text or links. Identify further on [https://plus.google.com/u/0/+TylerCollinsSEO/posts/QxpEZb5dazU visit search engine optimization] by navigating to our fine use with. <br><br>Any page that shows something to a se and another for your customers <br><br>Replicate pages <br><br>Make sure to ask the search engine submission organization for proof benefits obtained for their own web site with their customers. Look out for any organization using any illegal ways for temporary success; in fact, it"s highly likely that they will be banned from the most important search engines in time..<br><br>If you cherished this informative article in addition to you would like to receive more details about [https://FultonkjYezkb.jux.com affordable health insurance] i implore you to pay a visit to our own web site.
	~~In [[graph theory\|graph-theoretic]] [[mathematics]]~~, ~~a '''star coloring''' of a graph ''G'' is a [[Graph coloring\|(proper) vertex coloring]] in which every [[Path (graph theory)\|path on four vertices]] uses at least three distinct colors. Equivalently~~, in a ~~star coloring, the [[induced subgraph]]s formed by the vertices of any two colors has [[connected component (graph theory)\|connected component]]s that are [[star graph]]s~~. ~~Star coloring has been introduced by {{harvtxt\|Grünbaum\|1973}}.~~
	~~The '''star chromatic number'''~~ <~~math~~>~~\chi_s(G)~~<~~/math~~> ~~of ''G'' is the least number of colors needed~~ to ~~star color ''G''.~~

	~~One generalization of star coloring is~~ the ~~closely related concept of [[acyclic coloring]]~~, ~~where it is required that every cycle uses at least three colors~~, so the ~~two-color induced subgraphs are [[forest (graph theory)\|forests]]~~. ~~If we denote the acyclic chromatic number of a graph ''G'' by~~ <~~math~~>~~\chi_a(G)~~<~~/math~~>~~, we have that~~ <~~math~~>~~\chi_a(G) \leq \chi_s(G)~~<~~/math~~>, and ~~in fact every star coloring of ''G'' is an acyclic coloring.~~

	~~The star chromatic number has~~ been ~~proved~~ to ~~be bounded on every proper minor closed class~~ by ~~{{harvtxt\|Nešetřil\|Ossona de Mendez\|2003}}~~. ~~This results was further generalized by {{harvtxt\|Nešetřil\|Ossona de Mendez\|2006}}~~ to ~~all low-tree-depth colorings (standard coloring~~ and ~~star coloring being low~~-~~tree~~-~~depth colorings with respective parameter 1 and 2)~~.

	~~== Complexity ==~~
	~~It was demonstrated by {{harvtxt\|Albertson\|Chappell\|Kierstead\|Kündgen\|2004}}~~ that ~~it is [[NP~~-~~complete]]~~ to ~~determine whether~~ <~~math~~>~~\chi_s(G) \leq 3~~<~~/math~~>~~, even when ''G'' is~~ a ~~graph that is both [[planar graph\| planar]] and [[bipartite graph\|bipartite]]~~.
	~~{{harvtxt\|Coleman\|Moré\|1984}} showed that finding an optimal star coloring is~~ [~~[NP-hard]] even when ''G'' is a bipartite graph.~~

	~~== References ==~~
	*{{citation
	~~\| last1 = Albertson \| first1 = Michael O.~~
	~~\| last2 = Chappell \| first2 = Glenn G.~~
	~~\| last3 = Kierstead \| first3 = Hal A.~~
	~~\| last4 = Kündgen \| first4 = André~~
	~~\| last5 = Ramamurthi \| first5 = Radhika~~
	~~\| url = http~~://~~www~~.~~combinatorics~~.~~org~~/~~Volume_11~~/~~Abstracts~~/~~v11i1r26~~.~~html~~
	~~\| mr = 2056078~~
	~~\| title = Coloring with no 2-Colored ''P''~~<~~sub~~>4<~~/sub~~>'s
	~~\| journal = The Electronic Journal of Combinatorics~~
	~~\| volume = 11 \| issue = 1~~
	~~\| year = 2004}}.~~
	*{{citation
	~~\| last1 = Coleman \| first1 = Thomas F.~~
	~~\| last2 = Moré \| first2 = Jorge~~
	~~\| mr = 0736293~~
	~~\| title = Estimation of sparse Hessian matrices~~ and ~~graph coloring problems~~
	~~\| journal = Mathematical Programming~~
	~~\| volume = 28 \| issue = 3 \|~~ pages ~~= 243–270~~
	~~\| year = 1984~~
	~~\| doi = 10~~.~~1007/BF02612334}}.~~
	*{{citation
	~~\| last1 = Fertin \| first1 = Guillaume~~
	~~\| last2 = Raspaud \| first2 = André~~
	~~\| last3 = Reed \| first3 = Bruce \| author3-link = Bruce Reed (mathematician)~~
	~~\| journal = Journal of Graph Theory~~
	~~\| title = Star coloring of graphs~~
	~~\| volume = 47 \| issue = 3 \| pages = 163–182~~
	~~\| year = 2004~~
	~~\| mr = 2089462~~
	~~\| doi = 10.1002/jgt.20029}}.~~
	*{{citation
	~~\| last = Grünbaum \| first = Branko \| authorlink=Branko Grünbaum~~
	~~\| doi = 10.1007/BF02764716 \| mr = 0317982~~
	~~\| journal = Israel Journal of Mathematics~~
	~~\| title = Acyclic colorings of planar graphs~~
	~~\| volume = 14 \| pages = 390–408~~
	~~\| year = 1973}}.~~
	* {{citation
	~~\| first1 = Jaroslav \| last1 = Nešetřil \| authorlink1=Jaroslav Nešetřil~~
	~~\| first2 = Patrice \| last2 = Ossona de Mendez~~
	~~\| mr = 2038495~~
	~~\| series = Algorithms~~ & ~~Combinatorics \| publisher = Springer-Verlag~~
	~~\| volume = 25 \| pages = 651–664~~
	~~\| contribution = Colorings and homomorphisms of minor closed classes~~
	~~\| title = Discrete & Computational Geometry: The Goodman-Pollack Festschrift~~
	~~\| year = 2003}}~~.
	* {{citation
	~~\| first1 = Jaroslav \| last1 = Nešetřil \| authorlink1=Jaroslav Nešetřil~~
	~~\| first2 = Patrice \| last2 = Ossona de Mendez~~
	~~\| doi = 10~~.~~1016/j.ejc.2005.01.010 \| mr = 2226435~~
	~~\| journal =~~ [~~[European Journal of Combinatorics]]~~
	~~\| volume = 27 \| issue = 6 \| pages = 1022–1041~~
	~~\| title = Tree depth, subgraph coloring and homomorphism bounds~~
	~~\| year = 2006}}.~~

	~~== External links ==~~
	* [http://~~www~~.~~math~~.~~uiuc.edu/~west/regs/starcol.html Star colorings and acyclic colorings (1973)~~]~~, present at the [http://www~~.~~math.uiuc.edu/~west/regs/ Research Experiences for Graduate Students (REGS)] at the University of Illinois, 2008.~~

	~~[[Category:Graph coloring]]~~

en>Monkbot: /* Description */Fix CS1 deprecated date parameter errors

2014-01-28T05:41:57Z

Description: Fix CS1 deprecated date parameter errors

@@ Line 1: / Line 1: @@
-Hello, dear friend! My name is Irma. I am delighted that I could unite to the entire world. I live in France, in the  region. I dream to visit the different countries, to obtain familiarized with intriguing people.<br>xunjie 合弁会社の設立に投資する。
+[[Image:Graph star coloring.svg|thumb|right|300px|The star chromatic number of [[Dyck graph]] is 4, while the chromatic number is 2.]]
-この季節に明らかにした少しセクシーな甘い笑顔を下げる。
+In [[graph theory|graph-theoretic]] [[mathematics]], a '''star coloring''' of a graph ''G'' is a [[Graph coloring|(proper) vertex coloring]] in which every [[Path (graph theory)|path on four vertices]] uses at least three distinct colors. Equivalently, in a star coloring, the [[induced subgraph]]s formed by the vertices of any two colors has [[connected component (graph theory)|connected component]]s that are [[star graph]]s. Star coloring has been introduced by {{harvtxt|Grünbaum|1973}}.
-砂漠の革メアリーのごちそう言語では砂漠のマーサストリッカー情熱的な解釈レザー砂漠の宴マーサストリッカー情熱的な解釈レザー砂漠の宴マーサストリッカー情熱的な解釈レザー砂漠の宴マーサストリッカー情熱的な解釈ルフトハンザストリッカーは、 [http://www.equityfair.ch/impressions/jp/p/best/watch/gaga/ �����ߥ�� �rӋ ��� �˚�] Tencentの賞金通知日：2013年8月24日午前9時58分44秒は、
+The '''star chromatic number''' <math>\chi_s(G)</math> of ''G'' is the least number of colors needed to star color ''G''.
-My web blog ... [http://special-education-soft.com/images/photoalbum/gaga.html ガガミラノ 時計 レディース]
+One generalization of star coloring is the closely related concept of [[acyclic coloring]], where it is required that every cycle uses at least three colors, so the two-color induced subgraphs are [[forest (graph theory)|forests]].  If we denote the acyclic chromatic number of a graph ''G'' by <math>\chi_a(G)</math>, we have that <math>\chi_a(G) \leq \chi_s(G)</math>, and in fact every star coloring of ''G'' is an acyclic coloring.

en>DavidCary: Is this what that phrase alludes to?

2012-08-07T11:48:35Z

Is this what that phrase alludes to?

New page

Hello, dear friend! My name is Irma. I am delighted that I could unite to the entire world. I live in France, in the region. I dream to visit the different countries, to obtain familiarized with intriguing people.<br>xunjie 合弁会社の設立に投資する。
この季節に明らかにした少しセクシーな甘い笑顔を下げる。
砂漠の革メアリーのごちそう言語では砂漠のマーサストリッカー情熱的な解釈レザー砂漠の宴マーサストリッカー情熱的な解釈レザー砂漠の宴マーサストリッカー情熱的な解釈レザー砂漠の宴マーサストリッカー情熱的な解釈ルフトハンザストリッカーは、 [http://www.equityfair.ch/impressions/jp/p/best/watch/gaga/ ��ߥ�� rӋ �� ˚�] Tencentの賞金通知日：2013年8月24日午前9時58分44秒は、
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人々と外部環境力と通信するために人々に焦点を当てる、
2ローズカットダイヤモンドをエンボス肖像独立天然シェルの彫刻を使用してから、
今年のテキサス綿畑が先に米国の州の今年の米国の半分の1080万エーカー、 [http://www.dressagetechnique.com/images/jp/top/jimmychoo/ ��ߩ`<br><br>�� ȩ`�ȥХå�]

My web blog ... [http://special-education-soft.com/images/photoalbum/gaga.html ガガミラノ時計レディース]

← Older revision		Revision as of 00:30, 10 February 2014
Line 1:		Line 1:
	~~[[Image:Graph star coloring.svg\|thumb\|right\|300px\|The star chromatic number of [[Dyck graph]] is 4, while~~ the ~~chromatic number is 2.]]~~		In order to select the best search engine submission organization, you have to understand what to anticipate, and the minimum requirements for a fruitful search engine marketing technique. <br><br>We consequently recommend that you study about search engine optimization, as a way to choose the best positioning service, you"ve to understand what to anticipate, and the minimum requirements for a fruitful search engine submission. <br><br>There are numerous search engine submission companies in India. They provide online search engine marketing companies and search engine advertising solutions. Most of them follow current practices on the market. <br><br>You must pick a search-engine submission company, that has a long period of experience within this field and have already been able to make their presence felt by providing effective and efficient Services to Internet to their customers. Seem for updated strategies and processes to head in the proper direction and obtain the most useful ser-vices for you. <br><br>Avoid a search engine submission company offering the opportunity to you for "aggressive submission" o-r offering any unrealistic guarantees for minimal cost. Watch out for any internet search engine submission company that talks about utilizing the following strategies to get you greater exposure: <br><br>Darkness o-r additional domain names employed for search engine ranking purposes <br><br>Pages setup just to rank very with no or little use for your users <br><br>Pages that quickly direct to a different page o-r web site <br><br>Hidden text or links. Identify further on [https://plus.google.com/u/0/+TylerCollinsSEO/posts/QxpEZb5dazU visit search engine optimization] by navigating to our fine use with. <br><br>Any page that shows something to a se and another for your customers <br><br>Replicate pages <br><br>Make sure to ask the search engine submission organization for proof benefits obtained for their own web site with their customers. Look out for any organization using any illegal ways for temporary success; in fact, it"s highly likely that they will be banned from the most important search engines in time..<br><br>If you cherished this informative article in addition to you would like to receive more details about [https://FultonkjYezkb.jux.com affordable health insurance] i implore you to pay a visit to our own web site.
	~~In [[graph theory\|graph-theoretic]] [[mathematics]]~~, ~~a '''star coloring''' of a graph ''G'' is a [[Graph coloring\|(proper) vertex coloring]] in which every [[Path (graph theory)\|path on four vertices]] uses at least three distinct colors. Equivalently~~, in a ~~star coloring, the [[induced subgraph]]s formed by the vertices of any two colors has [[connected component (graph theory)\|connected component]]s that are [[star graph]]s~~. ~~Star coloring has been introduced by {{harvtxt\|Grünbaum\|1973}}.~~
	~~The '''star chromatic number'''~~ <~~math~~>~~\chi_s(G)~~<~~/math~~> ~~of ''G'' is the least number of colors needed~~ to ~~star color ''G''.~~

	~~One generalization of star coloring is~~ the ~~closely related concept of [[acyclic coloring]]~~, ~~where it is required that every cycle uses at least three colors~~, so the ~~two-color induced subgraphs are [[forest (graph theory)\|forests]]~~. ~~If we denote the acyclic chromatic number of a graph ''G'' by~~ <~~math~~>~~\chi_a(G)~~<~~/math~~>~~, we have that~~ <~~math~~>~~\chi_a(G) \leq \chi_s(G)~~<~~/math~~>, and ~~in fact every star coloring of ''G'' is an acyclic coloring.~~

	~~The star chromatic number has~~ been ~~proved~~ to ~~be bounded on every proper minor closed class~~ by ~~{{harvtxt\|Nešetřil\|Ossona de Mendez\|2003}}~~. ~~This results was further generalized by {{harvtxt\|Nešetřil\|Ossona de Mendez\|2006}}~~ to ~~all low-tree-depth colorings (standard coloring~~ and ~~star coloring being low~~-~~tree~~-~~depth colorings with respective parameter 1 and 2)~~.

	~~== Complexity ==~~
	~~It was demonstrated by {{harvtxt\|Albertson\|Chappell\|Kierstead\|Kündgen\|2004}}~~ that ~~it is [[NP~~-~~complete]]~~ to ~~determine whether~~ <~~math~~>~~\chi_s(G) \leq 3~~<~~/math~~>~~, even when ''G'' is~~ a ~~graph that is both [[planar graph\| planar]] and [[bipartite graph\|bipartite]]~~.
	~~{{harvtxt\|Coleman\|Moré\|1984}} showed that finding an optimal star coloring is~~ [~~[NP-hard]] even when ''G'' is a bipartite graph.~~

	~~== References ==~~
	*{{citation
	~~\| last1 = Albertson \| first1 = Michael O.~~
	~~\| last2 = Chappell \| first2 = Glenn G.~~
	~~\| last3 = Kierstead \| first3 = Hal A.~~
	~~\| last4 = Kündgen \| first4 = André~~
	~~\| last5 = Ramamurthi \| first5 = Radhika~~
	~~\| url = http~~://~~www~~.~~combinatorics~~.~~org~~/~~Volume_11~~/~~Abstracts~~/~~v11i1r26~~.~~html~~
	~~\| mr = 2056078~~
	~~\| title = Coloring with no 2-Colored ''P''~~<~~sub~~>4<~~/sub~~>'s
	~~\| journal = The Electronic Journal of Combinatorics~~
	~~\| volume = 11 \| issue = 1~~
	~~\| year = 2004}}.~~
	*{{citation
	~~\| last1 = Coleman \| first1 = Thomas F.~~
	~~\| last2 = Moré \| first2 = Jorge~~
	~~\| mr = 0736293~~
	~~\| title = Estimation of sparse Hessian matrices~~ and ~~graph coloring problems~~
	~~\| journal = Mathematical Programming~~
	~~\| volume = 28 \| issue = 3 \|~~ pages ~~= 243–270~~
	~~\| year = 1984~~
	~~\| doi = 10~~.~~1007/BF02612334}}.~~
	*{{citation
	~~\| last1 = Fertin \| first1 = Guillaume~~
	~~\| last2 = Raspaud \| first2 = André~~
	~~\| last3 = Reed \| first3 = Bruce \| author3-link = Bruce Reed (mathematician)~~
	~~\| journal = Journal of Graph Theory~~
	~~\| title = Star coloring of graphs~~
	~~\| volume = 47 \| issue = 3 \| pages = 163–182~~
	~~\| year = 2004~~
	~~\| mr = 2089462~~
	~~\| doi = 10.1002/jgt.20029}}.~~
	*{{citation
	~~\| last = Grünbaum \| first = Branko \| authorlink=Branko Grünbaum~~
	~~\| doi = 10.1007/BF02764716 \| mr = 0317982~~
	~~\| journal = Israel Journal of Mathematics~~
	~~\| title = Acyclic colorings of planar graphs~~
	~~\| volume = 14 \| pages = 390–408~~
	~~\| year = 1973}}.~~
	* {{citation
	~~\| first1 = Jaroslav \| last1 = Nešetřil \| authorlink1=Jaroslav Nešetřil~~
	~~\| first2 = Patrice \| last2 = Ossona de Mendez~~
	~~\| mr = 2038495~~
	~~\| series = Algorithms~~ & ~~Combinatorics \| publisher = Springer-Verlag~~
	~~\| volume = 25 \| pages = 651–664~~
	~~\| contribution = Colorings and homomorphisms of minor closed classes~~
	~~\| title = Discrete & Computational Geometry: The Goodman-Pollack Festschrift~~
	~~\| year = 2003}}~~.
	* {{citation
	~~\| first1 = Jaroslav \| last1 = Nešetřil \| authorlink1=Jaroslav Nešetřil~~
	~~\| first2 = Patrice \| last2 = Ossona de Mendez~~
	~~\| doi = 10~~.~~1016/j.ejc.2005.01.010 \| mr = 2226435~~
	~~\| journal =~~ [~~[European Journal of Combinatorics]]~~
	~~\| volume = 27 \| issue = 6 \| pages = 1022–1041~~
	~~\| title = Tree depth, subgraph coloring and homomorphism bounds~~
	~~\| year = 2006}}.~~

	~~== External links ==~~
	* [http://~~www~~.~~math~~.~~uiuc.edu/~west/regs/starcol.html Star colorings and acyclic colorings (1973)~~]~~, present at the [http://www~~.~~math.uiuc.edu/~west/regs/ Research Experiences for Graduate Students (REGS)] at the University of Illinois, 2008.~~

	~~[[Category:Graph coloring]]~~