In this lesson, learn about the properties of a complete graph. Moreover, discover a complete graph definition and calculate the vertices, edges,...
Graph theory is used to model the internet where each web page is a node, and the hyperlinks between pages are the edges of the graph model. Graph theory is used in navigation and GPS systems to find the optimal path between two points. Atoms and molecules, as well as DNA, can be mod...
even embeddingquadrangulationThe complete graph on n vertices can be quadrangularly embedded on an orientable (resp. nonorientable) closed surface F 2 with Euler characteristic if and only if (resp. and ). In this article, we shall show that if quadrangulates a closed surface F 2 , then...
Wood Graph minors and minimum degree Electron. J. Combin., 17 (1) (2010), p. R151 http://www.combinatorics.org/Volume_17/Abstracts/v17i1r151.html Google Scholar [4] Ken-ichi Kawarabayashi, Bojan Mohar Some recent progress and applications in graph minor theory Graphs Combin., 23 (1...
In the field of graph theory, graph decomposition is an active field of research. A graph pair is a pair of graphs on the same vertex set whose union is the complete graph. Abueida and Daven studied decompositions of complete graphs into graph-pairs of order four and five. We are ...
2. Two long-standing problems in graph theory Two long-standing problems in graph theory are the skew partition problem and the clique graph problem. The skew partition problem was defined by Chvátal in 1985 as the recognition problem for a special decomposition arising in the context of perfect...
摘要: In this paper, we show that K 10 n can be factored into α C 5 -factors and β 1-factors for all non-negative integers α and β satisfying 2α+β=10 n 1.关键词: Theoretical or Mathematical/ graph theory/ graph factorization nonnegative integer graph theory/ A0210 Algebra, ...
The question of whether graph contractability is NP-Complete is still an open problem in graph theory. While there have been some promising results and conjectures, there is currently no proof that it is NP-Complete. However, many researchers believe that it is likely to be NP-Complete, given...
One of the problems, which was considered by Li and Rousseau, is to estimate the book-complete graph Ramsey numbers. In [18] they n proved that for all sufficiently large n these...Y. Li and C.C. Rousseau, Fan-complete graph Ramsey numbers, J. Graph Theory 23 (1996), no. 4, ...
Rodger. Cycle systems of the line graph of the complete graph, J. Graph Theory 21 (1996) 1'73 - 182.Cycle Systems of the Line Graph of the Complete Graph - Cox, Rodger - 1996Cox, B.A., Rodger, C.A.: Cycle systems of the line graph of the complete graph. J. Graph Theory 21...