DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

https://doi.org/10.7151/dmgt

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory 18(1) (1998) 73-84
DOI: https://doi.org/10.7151/dmgt.1064

EQUIVALENT CLASSES FOR K3-GLUINGS OF WHEELS

Halina Bielak

Institute of Mathematics
M. Curie-Skłodowska University

e-mail: hbiel@golem.umcs.lublin.pl

Abstract

In this paper, the chromaticity of K3-gluings of two wheels is studied. For each even integer n ≥ 6 and each odd integer 3 ≤ q ≤ [n/2] all K3-gluings of wheels Wq+2 and Wn-q+2 create an χ-equivalent class.

Keywords: chromatically equivalent graphs, chromatic polynomial, chromatically unique graphs, wheels.

1991 Mathematics Subject Classification: 05C15.

References

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[2] C.Y. Chao and E.G. Whitehead, Jr., Chromatically unique graphs, Discrete Math. 27 (1979) 171-177, doi: 10.1016/0012-365X(79)90107-9.
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[6] K.M. Koh and C.P. Teo, The chromatic uniqueness of certain broken wheels, Discrete Math. 96 (1991) 65-69, doi: 10.1016/0012-365X(91)90471-D.
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Received 18 April 1997
Revised 28 August 1997


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