Open AccessThe numbers of cut-vertices and end-blocks in 4-regular graphs
Author(s) -
Erfang Shan,
Dingguo Wang
Publication year - 2013
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1724
Subject(s) - mathematics , combinatorics , pancyclic graph , chordal graph , discrete mathematics , graph , 1 planar graph
A cut-vertex in a graph G is a vertex whose removal increases the number of connected components of G. An end-block of G is a block with a single cut-vertex. In this paper we establish upper bounds on the numbers of end-blocks and cut-vertices in a 4-regular graph G and claw-free 4-regular graphs. We characterize the extremal graphs achieving these bounds
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