Equivalent classes for K₃-gluings of wheels

• Autorzy: Halina Bielak
• Języki publikacji: EN

Abstrakty

EN

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 $W_{q+2}$ and $W_{n-q+2}$ create an χ-equivalent class.

Słowa kluczowe

EN

chromatically equivalent graphs; chromatic polynomial; chromatically unique graphs; wheels

Kategorie tematyczne

• 05C15: Coloring of graphs and hypergraphs

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 1998
• Tom: 18
• Numer: 1
• Strony: 73-84

Daty

wydano

1998

otrzymano

1997-04-18

poprawiono

1997-08-28

Twórcy

autor

Halina Bielak

• Institute of Mathematics, M. Curie-Skłodowska University

Bibliografia

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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.
• [3] F. Harary, Graph Theory (Reading, 1969).
• [4] K.M. Koh and B.H. Goh, Two classes of chromatically unique graphs, Discrete Math. 82 (1990) 13-24, doi: 10.1016/0012-365X(90)90041-F.
• [5] K.M. Koh and C.P. Teo, The search for chromatically unique graphs, Graphs and Combinatorics 6 (1990) 259-285, doi: 10.1007/BF01787578.
• [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.
• [7] B. Loerinc, Chromatic uniqueness of the generalized θ-graph, Discrete Math. 23 (1978) 313-316, doi: 10.1016/0012-365X(78)90012-2.
• [8] R.C. Read, An introduction to chromatic polynomials, J. Combin. Theory 4 (1968) 52-71, doi: 10.1016/S0021-9800(68)80087-0.
• [9] S-J. Xu and N-Z. Li, The chromaticity of wheels, Discrete Math. 51 (1984)207-212, doi: 10.1016/0012-365X(84)90072-4.

Identyfikatory

DOI

10.7151/dmgt.1064