These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools...
‘Yufei Zhao’s book is a wonderful book about graph theory, additive combinatorics, and their surprising connections involving a major theme of modern mathematics: the interplay between structure and randomness. In both areas, the book can take the curious reader, whether an advanced undergraduate ...
Electronic Notes in Discrete MathematicsF.S. Benevides, V. Campos, M.D. Dourado, R.M. Sampaio, and A. Silva, The maxi- mum time of 2-neighbour bootstrap percolation: algorithmic aspects, in The Seventh European Conference on Combinatorics, Graph Theory and Applications, Jaroslav Nešetřil...
“we should marshal all our computers and all our mathematicians”. However, we can do much better if we restrict ourselves to graphs in specific classes. In particular, for graphs whose vertices can be partitioned into a clique and an independent set, known assplit graphs,R(p,q)=p+q−...
Graph Theory Notes of N. Y. LII, 9–12 (2007) Google Scholar S. Arumugam, M. Sundarakannan, On equality in an upper bound for the equivalence domination number. Quaest. Math. 38(1), 63–71 (2015) MathSciNet MATH Google Scholar S. Arumugam, S. Suseela, J. Suresh, Acyclic ...
König’s theorem is equivalent to numerous other min-max theorems in graph theory and combinatorics, such as Hall’s marriage theorem and Dilworth’s theorem. Since bipartite matching is a special case of maximum flow, the theorem also results from the max flow min cut theorem. König’...
In topological graph theory, an embedding (also spelled imbedding) of a graph G on a surface Σ is a representation of G on Σ in which points of Σ are associated with vertices and simple arcs (homeomorphic images of [0,1] are associated with edges in such a way that: the endpoints...
This book provides a useful range of examples showing how Sage can be used in graph theory and combinatorics. Publication date: 31 Dec 2010 License:GNU Free Documentation License Version 1.3 Graph Theory Post date: 24 Jul 2016 Lecture notes for TUT Finlandia MAT-62756 Graph Theory course. They...
Discover our top 13 picks (plus a few honorable mentions) for graph theory and algorithm books, videos, and resources from beginner to advanced.
Graph and Graph Models - Explore the fundamentals of graph theory, including types of graphs, graph representations, and their applications in discrete mathematics.