O¨ zkahya, Unavoidable subhypergraphs: a-clusters, in European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2009), Electron. Notes Discrete Math. 34, Elsevier, Amsterdam, 2009, pp. 63-67
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their ...
关于triangle-free graph,我们可以依次提出几个问题: 首先,当顶点数给定时,triangle-free graph最多有几条边。这就是Mantel定理。第一种思路是发现相邻点的邻域不交,因此d(x)+d(y)有上界,加总得到边数上界。第二种思路是发现某点的邻域是独立集,于是取最大度的顶点来全局估计。 进一步地,我们会思考给定顶点...
Combinatorics and Graph Theory packs an immense amount in, offering largely self-contained introductions to both graph theory and combinatorics along with a shorter look at infinite combinatorics. This introduces the reader to two of the more intuitive and immediate areas of mathematics and gives them...
Sterboul, editors, Combinatorial Mathematics Proceedings of the International Colloquium on Graph Theory and Combinatorics, volume 75, pages 131 - 141. North-Holland, 1983.A. Bouchet and J.-L. Fouquet. Trois types de d´ecompositions d'un graphe en chaˆines. In C. Berge, ...
Jay Yellen is a professor of mathematics at Rollins College. His current areas of research include graph theory, combinatorics, and algorithms. Mark Anderson is also a mathematics professor at Rollins College. His research interest in graph theo... ...
Extremal graph theory and Ramsey theory are two of the central branches of modern extremal combinatorics, which seeks to understand the size and structure of discrete objects under certain natural constraints. In this course we will explore these topics, seeing both some of the beautiful techniques ...
Combinatorics - Graph Theory, Counting, Probability: A graph G is said to be planar if it can be represented on a plane in such a fashion that the vertices are all distinct points, the edges are simple curves, and no two edges meet one another except at
a problem in combinatorics, Cambridge Dublin Math. J. 2 (1847), 191–. ^C. St. J. A. NashWilliams, unsolved problem concerning decomposition of graphs into triangles, In: Combinatorial Theory and its Applications III (P. Erdős, A. Rényi, and V.T. Sós, eds.), North ...
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their ...