Based on my lecture given there, I shall survey those parts of Extremal Graph Theory that are connected most directly with Paul Erdős’s work. In Turán type extremal problems we usually have some sample graphs L1,…,Lr, and consider a graph G n on n vertices not containing any L i ...
extremal graph theoryLet κl denote the complete graph on l vertices. We prove that there is a constant c = c(l) > 0, such that whenever p ≥ n-c, with probability tending to 1 when n goes to infinity, every maximum κl-free subgraph of the binomial random graph Gn, p is (l-...
DOIhttps://doi.org/10.1007/s10114-019-8093-2 Keywords Shannon’s entropy graph entropy degree sequence hypergraph MR(2010) Subject Classification 05C50 15A18 Access this article Log in via an institution Price includes VAT (China (P.R.)) Instant access to the full article PDF....
内容提示: arXiv:1807.05008v2 [math.CO] 8 Feb 2019On the extremal number of subdivisionsDavid Conlon ∗ Joonkyung Lee †AbstractOne of the cornerstones of extremal graph theory is a result of Füredi, later reproved andgiven due prominence by Alon, Krivelevich and Sudakov, saying that if...
Extremal graph theory Two path Degree sequence Ramsey View PDFReferences [1] R. Ahlswede, G.O.H. Katona Graphs with maximal number of adjacent pairs of edges Acta Mathematica Academiae Scientiarum Hungaricae, 32 (1978), pp. 97-120 View in ScopusGoogle Scholar [2] B. Bollobas Extremal Graph...
10.1.1.234.2288 On some extremal problems in graph theory (2008) by Dmitry Jakobson Igor Rivin [图论中的某些极值问题] a generic worklist algorithm for graph reachability problems in program analysis Major Problems in Asian American History PDF Oblique Derivative Problems for Second Order Nonlinear Equ...
A graph is d-regular if all vertices have degree d. In the family of d-regular graphs of the same size, which graph has the largest number of independent sets? This ques- tion was initially raised by Andrew Granville in connection to combinatorial number theory and appeared first in print...
We prove that every (simple) graph on n⩾9 vertices and at least 7n-27 edges either has a K9 minor, or is isomorphic to K2,2,2,3,3, or is isomorphic to a graph obtained from disjoint copies of K1,2,2,2,2,2 by identifying cliques of size six. The proof of one of our lemm...
Topics in Stochastic Combinatorial Optimization and Extremal Graph Theory We consider a random geometric graph, G(n, r ), constructed by placing points randomly in a square S n of area n according to a Poisson process of intensit... H Kaul - 《Journal of Thrombosis & Haemostasis》 被引量...
(eds) Graph Theory. Lecture Notes in Mathematics, vol 1018. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071617 Download citation .RIS .ENW .BIB DOIhttps://doi.org/10.1007/BFb0071617 Published07 September 2006 Publisher NameSpringer, Berlin, Heidelberg Print ISBN978-3-540-12687-4...