NDLI: On the Monotonicity of (k;g,h)-graphs

Content Provider	Springer Nature Link
Author	Xu, Bao guang Wang, Jian fang Wang, Ping
Copyright Year	2002
Abstract	A (k;g)-graph is a k-regular graph with girth g. A (k;g)-cage is a (k;g)-graph with the least possible number of vertices. Let f (k;g) denote the number of vertices in a (k;g)-cage. The girth pair of a graph gives the length of a shortest odd and a shortest even cycle. A k-regular graph with girth pair (g,h) is called a (k;g,h)-graph. A (k;g,h)-cage is a (k;g,h)-graph with the least possible number of vertices. Let f(k;g,h) denote the number of vertices in a (k;g,h)-cage. In this paper, we prove the following strict inequality f (k;h–1,h)
Ending Page	480
Page Count	4
Starting Page	477
File Format	PDF
ISSN	01689673
e-ISSN	16183932
Journal	Acta Mathematicae Applicatae Sinica
Issue Number	3
Volume Number	18
Language	English
Publisher	Springer-Verlag
Publisher Date	2002-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	girth pair Cages graph Mathematical and Computational Physics Structural characterization of families of graphs Applications of Mathematics Math Applications in Computer Science regular graph
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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On the Monotonicity of (k;g,h)-graphs