NDLI: Cayley Cages

Content Provider	Springer Nature Link
Author	Exoo, Geoffrey Jajcay, Robert Širáň, Jozef
Copyright Year	2012
Abstract	A (k,g)-Cayley cage is a k-regular Cayley graph of girth g and smallest possible order. We present an explicit construction of (k,g)-Cayley graphs for all parameters k≥2 and g≥3 and generalize this construction to show that many well-known small k-regular graphs of girth g can be constructed in this way. We also establish connections between this construction and topological graph theory, and address the question of the order of (k,g)-Cayley cages.
Starting Page	209
Ending Page	224
Page Count	16
File Format	PDF
ISSN	09259899
Journal	Journal of Algebraic Combinatorics
Volume Number	38
Issue Number	1
e-ISSN	15729192
Language	English
Publisher	Springer US
Publisher Date	2012-10-04
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cage Cayley graph Girth Combinatorics Convex and Discrete Geometry Order, Lattices, Ordered Algebraic Structures Computer Science Group Theory and Generalizations
Content Type	Text
Resource Type	Article
Subject	Discrete Mathematics and Combinatorics Algebra and Number Theory

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