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- {Which of these terms describe the axioms for a bipartite graph <math>G(V,E)</math> with <math>U_1,U_2</math> being the disjoint split of t {What kind of mathematical object is used to describe a graph labeling?} ...1 KB (217 words) - 19:53, 14 December 2016
- ...points. Besides chemical indices, applications of [[w: Graph theory|graph theory]] in chemistry include many other topics such as [[w: Isomer|isomer]] enume ==Graph Theory Background== ...51 KB (7,397 words) - 10:52, 1 May 2022
- The n-dimensional Cube <math>Q_n</math> or hypercube can be seen as a graph. Its nodes are the words of length <math>n</math> over the alphabet <math>\ ...f edges which have to be removed from <math>G</math> so that the resulting graph is planar. ...1 KB (235 words) - 20:02, 5 January 2023
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} Although Graph Theory, and Combinatorics in general, has very few prerequisites, an introductory ...13 KB (2,352 words) - 03:47, 16 October 2020
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} ...ty is also called being ''acyclic''). A sample forest from the Kevin Bacon Graph is given below. The vertices have been placed in order to give some idea as ...6 KB (1,032 words) - 03:48, 16 October 2020
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} For a graph <math>G</math>, the following are equivalent: ...4 KB (760 words) - 03:10, 12 January 2016
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} ...hematics:Introduction to Graph Theory:Proof of Theorem 4|Theorem 4]]:For a graph <math>G</math>, the following are equivalent: ...2 KB (386 words) - 03:10, 12 January 2016
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} The sum of the degrees of the vertices of a graph <math>G</math> is precisely twice the size of <math>G</math>. ...3 KB (456 words) - 03:09, 12 January 2016
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} A graph is a forest if and only if for every pair of distinct vertices <math>u,v</m ...2 KB (321 words) - 21:48, 6 March 2017
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} A graph is a tree if and only if for every pair of distinct vertices <math>u,v</mat ...2 KB (376 words) - 13:10, 14 October 2016
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- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} A graph is a tree if and only if for every pair of distinct vertices <math>u,v</mat ...2 KB (376 words) - 13:10, 14 October 2016
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} For a graph <math>G</math>, the following are equivalent: ...4 KB (760 words) - 03:10, 12 January 2016
- ...every binary square matrix can be interpreted as the adjacency matrix of a graph. Undirected [[w:8-cube|octeract]] graph ...2 KB (251 words) - 10:35, 20 August 2020
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} ...hematics:Introduction to Graph Theory:Proof of Theorem 4|Theorem 4]]:For a graph <math>G</math>, the following are equivalent: ...2 KB (386 words) - 03:10, 12 January 2016
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} A graph is a forest if and only if for every pair of distinct vertices <math>u,v</m ...2 KB (321 words) - 21:48, 6 March 2017
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} ...ty is also called being ''acyclic''). A sample forest from the Kevin Bacon Graph is given below. The vertices have been placed in order to give some idea as ...6 KB (1,032 words) - 03:48, 16 October 2020
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} The sum of the degrees of the vertices of a graph <math>G</math> is precisely twice the size of <math>G</math>. ...3 KB (456 words) - 03:09, 12 January 2016
- ...../PreciseIdea/|concepts]] of a [[../Cod/|graph]], colored graph and multi-graph. ...definition of a hypergraph given above avoids well known antimonies of set theory involving `sets' of sets in the general case. ...2 KB (343 words) - 03:34, 13 September 2020
- ...gent living organisms or biosystems in terms of a network, [[../Bijective/|graph]] or [[../Cod/|category]] of integrated interactions between their structur ...of items (objects--in the mathematical sense) by means of the mathematical theory of categories into three levels of [[../GenericityInOpenSystems/|dynamic sy ...4 KB (438 words) - 14:12, 6 May 2023
- A closely related theme is that of graph coloring using computer [[../RecursiveFunction/|algorithms]]. ===Graph Coloring utilizing Computer Algorithms=== ...6 KB (989 words) - 05:19, 12 September 2020
- ...Undergraduate/Pure Mathematics|School of Mathematics:Introduction to Graph Theory}} Although Graph Theory, and Combinatorics in general, has very few prerequisites, an introductory ...13 KB (2,352 words) - 03:47, 16 October 2020
- A [[Logical Graphs|logical graph]] for <math>p \land q</math> is drawn as two letters attached to a root nod | [[File:Cactus Graph Existential P And Q.jpg|400px]] ...6 KB (799 words) - 04:12, 10 May 2019
- ...hcal{G}_B</math> which is generated or directly computed from the directed graph <math>G_D</math>. ...<math>S_0</math> in the simpler, Rashevsky's [[../TheoryOfOrganismicSets/|theory of organismic sets]]. ...5 KB (722 words) - 15:26, 12 September 2020
- ...ructure]]s, such as a topological space/ a [[graph]]/ a network, a [[meta-graph]], and so on. ...]]s, and the essence of the mathematical theory of categories. or Category Theory, is often contained in natural transformations, such as natural equivalence ...4 KB (731 words) - 01:01, 20 August 2023
- ...y other areas of mathematics, such as algebra, probability theory, ergodic theory and geometry, as well as to applied subjects in computer science and statis #[[Combinatorics/Graph & Ramsey Theory]] ...2 KB (331 words) - 06:17, 3 January 2022
- For a discussion on the basic theory of integrals see: [[w:Riemann sum]] ...nbsp;<math>x_2</math> is given by the area <math>A</math> between the graph of <math>\rho(x),</math> the <math>x</math> axis, and the vertical lin ...3 KB (573 words) - 01:47, 13 February 2018
- [[Category:Group theory]] ...etric group 4; cycle graph.svg|thumb|220px|[[w:Cycle graph (algebra)|Cycle graph]] of S<sub>4</sub>]] ...28 KB (4,020 words) - 21:17, 23 November 2024
- ...nel. The aggregation is achieved using some form of multiplexing. Trunking theory was developed by Agner Krarup Erlang, Erlang based his studies of the stati ==== Erlang and Trunking Theory ==== ...9 KB (1,299 words) - 23:31, 31 May 2018
- * [[Logical graph]] * [[Relation theory]] ...5 KB (544 words) - 08:47, 24 March 2023
- ...urally in applications. This approach to '''relation theory''' , or the '''theory of relations''' , is distinguished from, though closely related to, its stu ...tinction between a function and its "graph'' , letting <math>\operatorname{graph}(f) := \operatorname{obj_{12}}f.</math> ...13 KB (2,176 words) - 03:43, 13 September 2020