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Graphs and Combinatorics

, Volume 3, Issue 1, pp 255–265 | Cite as

Some topics in cochromatic theory

  • John Gimbel
  • H. Joseph Straight
Article

Abstract

GivenG, a graph, the cochromatic number,Z(G), ofG is the fewest number of sets into which the vertex set can be partitioned so that each set induces a complete or an empty graph. A graph is critically cochromatic if the removal of any of its vertices decreases its cochromatic number. A graph is uniquely cochromatic if there is exactly one partition of minimum order in which each set induces a complete or an empty graph. A graph is comaximal if the removal of any edge increases its cochromatic number. These and related concepts are examined.

Keywords

Related Concept Minimum Order Empty Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • John Gimbel
    • 1
  • H. Joseph Straight
    • 2
  1. 1.Colby CollegeWatervilleUSA
  2. 2.State University of New York at FredoniaFredoniaUSA

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