Go to the content (press return)

# FUTUR. Website for the scientific production of UPC researchers

## On the connectivity and restricted edge-connectivity of 3-arc graphs

Author
Balbuena, C.; García, P.; Montejano , L.P.
Type of activity
Journal article
Journal
Discrete applied mathematics
Date of publication
2014-01-10
Volume
162
First page
90
Last page
99
DOI
https://doi.org/10.1016/j.dam.2013.08.010
URL
https://vpn.upc.edu/science/article/pii/,DanaInfo=www.sciencedirect.com+S0166218X1300351X
Abstract
Let View the MathML source denote the symmetric digraph of a graph G. A 3-arc is a 4-tuple (y,a,b,x) of vertices such that both (y,a,b) and (a,b,x) are paths of length 2 in G. The 3-arc graphX(G) of a given graph G is defined to have vertices the arcs of View the MathML source, and they are denoted as (uv). Two vertices (ay),(bx) are adjacent in X(G) if and only if (y,a,b,x) is a 3-arc of G. The purpose of this work is to study the edge-connectivity and restricted edge-connectivity of 3-arc grap...
Keywords
Graph theory Mathematical techniques
Group of research
COMBGRAPH - Combinatorics, Graph Theory and Applications