In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some...
28 KB (3,689 words) - 15:58, 20 December 2024
discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics"...
26 KB (2,771 words) - 02:35, 23 December 2024
up Graph, graph, or -graph in Wiktionary, the free dictionary. Wikimedia Commons has media related to Graphs. Graph may refer to: Graph (discrete mathematics)...
1 KB (186 words) - 21:14, 30 November 2024
algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set...
190 KB (19,551 words) - 19:36, 11 December 2024
property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in...
10 KB (1,833 words) - 06:05, 22 August 2024
in discrete mathematics. Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures...
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outerplanar graphs", Discrete Mathematics, 26 (1): 47–53, doi:10.1016/0012-365X(79)90060-8. Sysło, Maciej M.; Proskurowski, Andrzej (1983), "On Halin graphs", Graph...
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mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid...
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(1985), "On the chromatic number of multiple interval graphs and overlap graphs", Discrete Mathematics, 55 (2): 161–166, doi:10.1016/0012-365X(85)90044-5...
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geometry, combinatorial optimization, digital geometry, discrete differential geometry, geometric graph theory, toric geometry, and combinatorial topology...
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In computer science and discrete mathematics, an inversion in a sequence is a pair of elements that are out of their natural order. Let π {\displaystyle...
15 KB (1,903 words) - 03:11, 4 January 2024
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets...
33 KB (4,093 words) - 00:09, 21 October 2024
Di Stefano, Gabriele (1999). "Graph classes between parity and distance-hereditary graphs". Discrete Applied Mathematics. 95 (1–3): 197–216. doi:10...
59 KB (7,054 words) - 11:33, 16 December 2024
In the mathematical field of graph theory, a complete bipartite graph or biclique is a special kind of bipartite graph where every vertex of the first...
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Combinatorics (redirect from Combinatorial mathematics)
on discrete and combinatorial objects. It started as a part of combinatorics and graph theory, but is now viewed as a branch of applied mathematics and...
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colourable graphs", Advances in Graph Theory (Cambridge Combinatorial Conf., Trinity College, Cambridge, 1977), Annals of Discrete Mathematics, vol. 3,...
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In graph theory, a branch of mathematics, a cluster graph is a graph formed from the disjoint union of complete graphs. Equivalently, a graph is a cluster...
6 KB (647 words) - 06:47, 25 June 2023
Discrete Mathematics is a biweekly peer-reviewed scientific journal in the broad area of discrete mathematics, combinatorics, graph theory, and their...
3 KB (186 words) - 20:23, 7 May 2024
In discrete mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed:...
6 KB (805 words) - 08:53, 15 February 2024
A three-dimensional graph may refer to A graph (discrete mathematics), embedded into a three-dimensional space The graph of a function of two variables...
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In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors...
15 KB (1,844 words) - 04:06, 21 December 2024
In graph theory, the degree (or valency) of a vertex of a graph is the number of edges that are incident to the vertex; in a multigraph, a loop contributes...
10 KB (1,276 words) - 13:10, 18 November 2024
interval graphs", SIAM Journal on Discrete Mathematics, 23 (4): 1905–1953, doi:10.1137/S0895480100373455 Eckhoff, Jürgen (1993), "Extremal interval graphs",...
22 KB (2,640 words) - 01:39, 27 August 2024
Subcoloring (category Graph coloring)
Hedetniemi, S. T.; Locke, S. C. (1989), "The subchromatic number of a graph", Discrete Mathematics, 74 (1–2): 33–49, doi:10.1016/0012-365X(89)90196-9. Broersma...
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Barnette's conjecture (category Unsolved problems in graph theory)
Unsolved problem in mathematics: Is every cubic bipartite polyhedral graph Hamiltonian? (more unsolved problems in mathematics) Barnette's conjecture is...
11 KB (1,194 words) - 07:50, 18 July 2024
In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges)...
17 KB (2,062 words) - 20:41, 26 September 2024
Discrete optimization is a branch of optimization in applied mathematics and computer science. As opposed to continuous optimization, some or all of the...
2 KB (174 words) - 15:49, 12 July 2024
In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it...
45 KB (5,647 words) - 02:14, 6 December 2024
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed...
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time of a graph", Discrete Mathematics, 309 (18): 5588–5595, doi:10.1016/j.disc.2008.04.004, MR 2567962 Gavenčiak, Tomáš (2010), "Cop-win graphs with maximum...
24 KB (3,239 words) - 03:09, 23 May 2023