Franklin graph - Revision history

en>Maproom: /* Gallery */ Consistent punctuation and capitalisation of image captions.

2014-11-06T07:55:43Z

Gallery: Consistent punctuation and capitalisation of image captions.

← Older revision		Revision as of 09:55, 6 November 2014
Line 1:		Line 1:
	~~{{infobox graph~~		The main advantage of using the blog is that anyone can use the Word - Press blog and customize the elements in the theme regardless to limited knowledge about internet and website development. What I advise you do next is save the backup data file to a remote place like a CD-ROM, external disk drive if you have one or a provider such as Dropbox. The effect is to promote older posts by moving them back onto the front page and into the rss feed. If you're using Wordpress and want to make your blog a "dofollow" blog, meaning that links from your blog pass on the benefits of Google pagerank, you can install one of the many dofollow plugins available. Should you loved this information in addition to you wish to acquire guidance relating to [http://iz.sa/backupplugin512527 wordpress backup plugin] i implore you to check out our own web page. If you are happy with your new look then click "Activate 'New Theme'" in the top right corner. <br><br>Luckily, for Word - Press users, WP Touch plugin transforms your site into an IPhone style theme. If you wish to sell your services or products via internet using your website, you have to put together on the website the facility for trouble-free payment transfer between customers and the company. There are number of web services that offer Word press development across the world. It primarily lays emphasis on improving the search engine results of your website whenever a related query is typed in the search box. Many times the camera is following Mia, taking in her point of view in almost every frame. <br><br>The least difficult and very best way to do this is by acquiring a Word - Press site. Word - Press has different exciting features including a plug-in architecture with a templating system. We can active Akismet from wp-admin > Plugins > Installed Plugins. Thousands of plugins are available in Word - Press plugin's library which makes the task of selecting right set of plugins for your website a very tedious task. Converting HTML to Word - Press theme for your website can allow you to enjoy the varied Word - Press features that aid in consistent growth your online business. <br><br>If all else fails, please leave a comment on this post with the issue(s) you're having and help will be on the way. And, that is all the opposition events with nationalistic agenda in favor of the individuals of Pakistan marching collectively in the battle in opposition to radicalism. Exacting subjects in reality must be accumulated in head ahead of planning on your high quality theme. Giant business organizations can bank on enterprise solutions to incorporate latest web technologies such as content management system etc, yet some are looking for economical solutions. Digital digital cameras now function gray-scale configurations which allow expert photographers to catch images only in black and white. <br><br>Millions of individuals and organizations are now successfully using this tool throughout the world. I don't want that for my visitors and I'm quite sure they don't either. The days of spending a lot of time and money to have a website built are long gone. Word - Press is an open source content management system which is easy to use and offers many user friendly features. Article Source: Hostgator discount coupons for your Wordpress site here.
	~~\| name = Balaban 11-cage~~
	~~\| image = [[Image:Balaban 11-cage.svg\|240px]]~~
	~~\| image_caption =~~ The ~~Balaban 11-cage~~
	~~\| namesake = A. T. Balaban~~
	~~\| vertices = 112~~
	~~\| edges = 168~~
	~~\| automorphisms = 64~~
	~~\| girth = 11~~
	~~\| radius = 6~~
	~~\| diameter = 8~~
	~~\| chromatic_number = 3~~
	~~\| chromatic_index = 3~~
	~~\| properties = [[Cubic graph\|Cubic]]<br>[[Cage (graph theory)\|Cage]]<br>[[Hamiltonian graph\|Hamiltonian]]~~
	}}
	~~In the [[mathematics\|mathematical]] field~~ of ~~[[graph theory]],~~ the ~~'''Balaban 11-cage''' or '''Balaban (3-11)-cage'''~~ is ~~a 3~~-~~[[regular graph]] with 112 vertices~~ and ~~168 edges named after [[Alexandru Balaban\|A. T~~. ~~Balaban]].<ref>{{MathWorld\|urlname=Balaban11-Cage\|title=Balaban 11-Cage}}</ref>~~

	~~The Balaban 11-cage~~ is the ~~unique [[cage graph\|(3~~-~~11)-cage]]~~. ~~It was discovered~~ by ~~Balaban in 1973.<ref>Balaban, A. T. "Trivalent Graphs of Girth Nine and Eleven~~ and ~~Relationships Among~~ the ~~Cages~~." ~~Rev. Roumaine Math. 18~~, ~~1033-1043~~, ~~1973~~.</~~ref> The uniqueness was proved by McKay and Myrvold~~ in ~~2003~~.<~~ref~~>~~{{MathWorld\|urlname=CageGraph\|title=Cage Graph}}~~<~~/ref~~>

	~~The Balaban 11~~-~~cage is a [[Hamiltonian graph]]~~ and ~~can be constructed by excision from~~ the ~~[[Tutte 12-cage]] by removing~~ a ~~small subtree and suppressing~~ the ~~resulting vertices~~ of ~~degree two~~.<~~ref name="SURV"~~>~~Geoffrey Exoo & Robert Jajcay, Dynamic cage survey, Electr. J. Combin. 15 (2008)~~<~~/ref~~>

	~~It has chromatic number 3, chromatic index 3, radius 6, diameter 8~~ and ~~girth 11. It~~ is ~~also~~ a 3-~~[[k~~-~~vertex~~-~~connected graph\|vertex-connected graph]] and~~ a 3-~~[[k-edge-connected graph\|edge-connected graph]]~~.

	~~==Algebraic properties==~~
	~~The [[characteristic polynomial]]~~ of the ~~Balaban 11~~-~~cage is :~~
	~~<math>(x~~-~~3) x^{12} (x^2-6)^5 (x^2-2)^{12} (x^3-x^2-4 x+2)^2~~<~~/math~~> <~~math~~>(~~x^3+x^2-6 x-2~~) ~~(x^4-x^3-6 x^2+4 x+4)^4 (x^5+x^4-8 x^3-6 x^2+12 x+4)^8</math>~~.

	~~The automorphism group~~ of the ~~Balaban 11~~-~~cage is of order 64~~.<~~ref name="SURV"/~~>

	~~==Gallery==~~
	<~~gallery~~>
	~~Image:balaban_11-cage_3COL.svg\|The [[chromatic number]]~~ of the ~~Balaban 11-cage is 3~~.
	~~Image:balaban_11-cage_3color_edge~~.~~svg\|~~The ~~[[chromatic index]]~~ of ~~the Balaban 11~~-~~cage~~ is 3.
	~~Image~~: ~~balaban_11-cage_alternative_drawing.svg\|Alternative drawing of the Balaban 11-cage.<ref>[[Peter Eades\|P. Eades]], J. Marks, P. Mutzel, S. North~~. ~~"Graph-Drawing Contest Report", TR98-16, December 1998, Mitsubishi Electric Research Laboratories.</ref>~~
	~~</gallery>~~

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

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

en>Yobot: /* Gallery */WP:CHECKWIKI error fixes using AWB (9075)

2013-04-12T19:49:33Z

Gallery: WP:CHECKWIKI error fixes using AWB (9075)

← Older revision		Revision as of 21:49, 12 April 2013
Line 1:		Line 1:
			{{infobox graph
			\| name = Balaban 11-cage
			\| image = [[Image:Balaban 11-cage.svg\|240px]]
			\| image_caption = The Balaban 11-cage
			\| namesake = A. T. Balaban
			\| vertices = 112
			\| edges = 168
			\| automorphisms = 64
			\| girth = 11
			\| radius = 6
			\| diameter = 8
			\| chromatic_number = 3
			\| chromatic_index = 3
			\| properties = [[Cubic graph\|Cubic]]<br>[[Cage (graph theory)\|Cage]]<br>[[Hamiltonian graph\|Hamiltonian]]
			}}
			In the [[mathematics\|mathematical]] field of [[graph theory]], the '''Balaban 11-cage''' or '''Balaban (3-11)-cage''' is a 3-[[regular graph]] with 112 vertices and 168 edges named after [[Alexandru Balaban\|A. T. Balaban]].<ref>{{MathWorld\|urlname=Balaban11-Cage\|title=Balaban 11-Cage}}</ref>

			The Balaban 11-cage is the unique [[cage graph\|(3-11)-cage]]. It was discovered by Balaban in 1973.<ref>Balaban, A. T. "Trivalent Graphs of Girth Nine and Eleven and Relationships Among the Cages." Rev. Roumaine Math. 18, 1033-1043, 1973.</ref> The uniqueness was proved by McKay and Myrvold in 2003.<ref>{{MathWorld\|urlname=CageGraph\|title=Cage Graph}}</ref>

	~~Bonus: WP Twin~~ and WP Twin Auto Backup: (link to ) While not a theme, I think this software is essential if you are maintaining your Wordpress blog or regularly create new blog sites. What I advise you do next is save the ~~backup data file to a remote place like a CD~~-~~ROM, external disk drive if you have one or~~ a ~~provider such as Dropbox. A pinch of tablet centric strategy can get your Word - Press site miles ahead~~ of ~~your competitors, so here are few strategies that will give your Wordpress websites and blogs an edge over your competitors:~~. ~~If you're using Wordpress and want to make your blog a~~ "~~dofollow~~" ~~blog~~, ~~meaning that links from your blog pass on the benefits of Google pagerank~~, ~~you can install one of the many dofollow plugins available~~. ~~Understanding how Word - Press works can be a challenge, but it is not too difficult when you learn more about it~~. <br>~~<br>Generally~~, ~~for my private income-making market websites~~, ~~I will thoroughly research~~ and ~~discover the leading 10 most worthwhile niches to venture into~~. ~~You will have to invest some money into tuning up your own blog but, if done wisely, your investment will pay off in the long run. Some plugins ask users to match pictures or add numbers,~~ and ~~although effective, they appear unprofessional and unnecessary~~. ~~t need to use the back button or~~ the ~~URL to get to your home page. As soon as you start developing your Word~~ - ~~Press MLM website you'll see how straightforward and simple it~~ is ~~to create an online presence for you and the products and services you offer.~~ <br><br>~~Just ensure that you hire experienced Word~~ - ~~Press CMS developer who is experienced enough to perform the task of Word~~ - ~~Press customization to get optimum benefits of Word~~ - ~~Press CMS~~. ~~It was also the very first year that the category~~ of ~~Martial Arts was included in~~ the ~~Parents~~ - Connect nationwide online poll, allowing parents to vote for their favorite San Antonio Martial Arts Academy. Setting Up Your Business Online Using Free Wordpress Websites. You or your web designer can customize it as per your specific needs. There are plenty of ~~tables that are attached to this particular database~~. <br><br>The ~~disadvantage~~ is ~~it requires a considerable amount of time to set every thing up~~. ~~This plugin allows a webmaster to create complex layouts without having to waste so much time with short codes~~. ~~A higher percentage~~ of ~~women are marrying at older ages,many are delaying childbearing until their careers are established,~~ the ~~divorce rate~~ is ~~high and many couples remarry and desire their own children~~. ~~IVF ,fertility,infertility expert,surrogacy specialist in India at Rotundaivf~~. ~~Look for experience: When you are searching for a Word~~ - ~~Press developer you should always look at their experience level~~. <br>~~<br>Here is more information regarding~~ [~~http://www~~.~~nt-protect.host.sk/?wordpress_dropbox_backup_140905 wordpress backup plugin~~] ~~look at our own web-site~~. ~~Instead~~, ~~you can easily just include it with our bodies integration field in e - Panel~~. ~~s ability to use different themes and skins known as Word - Press Templates or Themes~~. ~~Useful Plugins Uber - Menu Top Megamenu Now it is the time of sticky Top navbar~~. ~~Working with a Word~~ - ~~Press blog and the appropriate cost~~-~~free Word - Press theme~~, ~~you can get a professional internet site up and published in no time at all~~. ~~Article Source~~: ~~Hostgator discount coupons for your Wordpress site here.~~		The Balaban 11-cage is a [[Hamiltonian graph]] and can be constructed by excision from the [[Tutte 12-cage]] by removing a small subtree and suppressing the resulting vertices of degree two.<ref name="SURV">Geoffrey Exoo & Robert Jajcay, Dynamic cage survey, Electr. J. Combin. 15 (2008)</ref>

			It has chromatic number 3, chromatic index 3, radius 6, diameter 8 and girth 11. It is also a 3-[[k-vertex-connected graph\|vertex-connected graph]] and a 3-[[k-edge-connected graph\|edge-connected graph]].

			==Algebraic properties==
			The [[characteristic polynomial]] of the Balaban 11-cage is :
			<math>(x-3) x^{12} (x^2-6)^5 (x^2-2)^{12} (x^3-x^2-4 x+2)^2</math> <math>(x^3+x^2-6 x-2) (x^4-x^3-6 x^2+4 x+4)^4 (x^5+x^4-8 x^3-6 x^2+12 x+4)^8</math>.

			The automorphism group of the Balaban 11-cage is of order 64.<ref name="SURV"/>

			==Gallery==
			<gallery>
			Image:balaban_11-cage_3COL.svg\|The [[chromatic number]] of the Balaban 11-cage is 3.
			Image:balaban_11-cage_3color_edge.svg\|The [[chromatic index]] of the Balaban 11-cage is 3.
			Image: balaban_11-cage_alternative_drawing.svg\|Alternative drawing of the Balaban 11-cage.<ref>[[Peter Eades\|P. Eades]], J. Marks, P. Mutzel, S. North. "Graph-Drawing Contest Report", TR98-16, December 1998, Mitsubishi Electric Research Laboratories.</ref>
			</gallery>

			== References ==
			{{reflist}}

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

132.229.222.14: /* Gallery */

2012-03-02T18:22:52Z

Gallery

New page

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