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Path Decompositions of Kneser and Generalized Kneser Graphs

Published online by Cambridge University Press:  20 November 2018

C. A. Rodger  and
Thomas Richard Whitt III
C. A. Rodger
Affiliation:
Department of Mathematics and Statistics, Auburn University, AL USA 36849-5310 e-mail: rodgec1@auburn.edu trw0003@auburn.edu
Thomas Richard Whitt III
Affiliation:
Department of Mathematics and Statistics, Auburn University, AL USA 36849-5310 e-mail: rodgec1@auburn.edu trw0003@auburn.edu
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Abstract

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Necessary and sufficient conditions are given for the existence of a graph decomposition of the Kneser Graph $K{{G}_{n,2}}$ and of the Generalized Kneser Graph $GK{{G}_{n,3,1}}$ into paths of length three.

Keywords

05C5105C70Kneser graphgeneralized Kneser graphpath decompositiongraph decomposition

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 3 , 01 September 2015 , pp. 610 - 619
Copyright
Copyright © Canadian Mathematical Society 2015

References

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