INDEPENDENT DISCOVERIES IN GRAPH THEORY

Mastering relationship conflicts: discoveries in theory, research, and practice.

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Algorithms in Graph Theory

Topics in Graph Theory

Abstract. This paper is an exposition of some classic results in graph theory and their applications. A proof of Tutte’s theorem is given, which is then used to derive Hall’s marriage theorem for bipartite graphs. Some compelling applications of Hall’s theorem are provided as well. In the final section we present a detailed proof of Menger’s theorem and demonstrate its power by deriving König’s...

Someproblems in Graph Theory

In this short note I discuss two problems which we discussed during the hyper-graph meeting. I. The following conjecture is attributed to I. Zarins by Bondy and Chvatal : Let k be an integer and n > n 0 (k). Then if G(n) (G(n) is a graph of n ver-tices) is Hamiltonian and does not have k pairwise independent vertices (i .e. the complementary graph does not contain a complete subgraph of k verti...

Graph Theory in Chemistry