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Counting balanced signed graphs using marked graphs

Published online by Cambridge University Press:  20 January 2009

Frank Harary  and
Jerald A. Kabell
Frank Harary
Affiliation:
Department of MathematicsUniversity of MichiganAnn Arbor, MI 48109
Jerald A. Kabell
Affiliation:
Department of MathematicsUniversity of MichiganAnn Arbor, MI 48109
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A graph in which each line is designated as either positive or negative is called a signed graph S. The sign of a cycle in S is a product of the signs of its lines. A signed graph in which every cycle is positive is called balanced. This concept was introduced by Harary in (3) and the following characterisation of balanced signed graphs was given.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 24 , Issue 2 , June 1981 , pp. 99 - 104
Copyright
Copyright © Edinburgh Mathematical Society 1981

References

REFERENCES

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