Edge-transitive graph

In the mathematical field of graph theory, an edge-transitive graph is a graph G such that, given any two edges e1 and e2 of G, there is an…

Papers overview

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2019

Network epidemics is a ubiquitous model that can represent different phenomena and finds applications in various domains. Among…

2016

Abstract In this note connected, edge-transitive lexicographic and Cartesian products are characterized. For the lexicographic…

2015

We study the class of edge-transitive graphs of square-free order and valency at most $k$. It is shown that, except for a few…

2015

This paper presents a characterization of edge-transitive graphs which are four regular and have girth four. This class consists…

2015

This paper concerns finite, edge-transitive direct and strong products, as well as infinite weak Cartesian products. We prove…

2014

2014

We find recursive formulae for the number of perfect matchings in a graph G by splitting G into subgraphs H and Q. We use these…

2013

A cyclic edge-cut of a graph G is an edge set, the removal of which separates two cycles. If G has a cyclic edge-cut, then it is…

2009

A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let p be a…

2000

An edge-transitive graph is a graph such that any two edges are equivalent under some element of its automorphism group. More…