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Some properties of semiregular cages

Author
Balbuena, C.; Marcote, F.; González, D.
Type of activity
Journal article
Journal
Discrete mathematics and theoretical computer science
Date of publication
2010
Volume
12
Number
5
First page
125
Last page
138
Repository
http://hdl.handle.net/2117/11459 Open in new window
Abstract
A graph with degree set {r,r + 1} is said to be semiregular. A semiregular cage is a semiregular graph with given girth g and the least possible order. First, an upper bound on the diameter of semiregular graphs with girth g and order close enough to the minimum possible value is given in this work. As a consequence, these graphs are proved to be maximally connected when the girth g ≥ 7 is odd. Moreover an upper bound for the order of semiregular cages is given and, as an application, every se...
Citation
Balbuena, C.; Marcote, F.; González, D. Some properties of semiregular cages. "Discrete mathematics and theoretical computer science", 2010, vol. 12, núm. 5, p. 125-138.
Group of research
COMBGRAPH - Combinatorics, Graph Theory and Applications

Participants