Chromatic equivalence classes of certain cycles with edges

Let P(G) denote the chromatic polynomial of a graph G. Two graphs G and H are chromatically equivalent, written G∼H, if P(G) = P(H). A graph G is chromatically unique if for any graph H, G∼H implies that G is isomorphic with H. In this paper, we give the necessary and sufficient conditions for a fam...

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Main Authors: Omoomi, Behnaz, Peng, Yee-Hock
Format: Article
Language:English
Published: 2001
Online Access:http://psasir.upm.edu.my/id/eprint/114099/1/114099.pdf
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author Omoomi, Behnaz
Peng, Yee-Hock
author_facet Omoomi, Behnaz
Peng, Yee-Hock
author_sort Omoomi, Behnaz
collection UPM
description Let P(G) denote the chromatic polynomial of a graph G. Two graphs G and H are chromatically equivalent, written G∼H, if P(G) = P(H). A graph G is chromatically unique if for any graph H, G∼H implies that G is isomorphic with H. In this paper, we give the necessary and sufficient conditions for a family of generalized polygon trees to be chromatically unique. © 2001 Elsevier Science B.V. All rights reserved.
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spelling upm.eprints-1140992024-12-10T01:45:25Z http://psasir.upm.edu.my/id/eprint/114099/ Chromatic equivalence classes of certain cycles with edges Omoomi, Behnaz Peng, Yee-Hock Let P(G) denote the chromatic polynomial of a graph G. Two graphs G and H are chromatically equivalent, written G∼H, if P(G) = P(H). A graph G is chromatically unique if for any graph H, G∼H implies that G is isomorphic with H. In this paper, we give the necessary and sufficient conditions for a family of generalized polygon trees to be chromatically unique. © 2001 Elsevier Science B.V. All rights reserved. 2001 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/114099/1/114099.pdf Omoomi, Behnaz and Peng, Yee-Hock (2001) Chromatic equivalence classes of certain cycles with edges. Discrete Mathematics, 232 (1-3). pp. 175-183. ISSN 0012-365X; eISSN: 0012-365X https://linkinghub.elsevier.com/retrieve/pii/S0012365X00003551 10.1016/s0012-365x(00)00355-1
spellingShingle Omoomi, Behnaz
Peng, Yee-Hock
Chromatic equivalence classes of certain cycles with edges
title Chromatic equivalence classes of certain cycles with edges
title_full Chromatic equivalence classes of certain cycles with edges
title_fullStr Chromatic equivalence classes of certain cycles with edges
title_full_unstemmed Chromatic equivalence classes of certain cycles with edges
title_short Chromatic equivalence classes of certain cycles with edges
title_sort chromatic equivalence classes of certain cycles with edges
url http://psasir.upm.edu.my/id/eprint/114099/1/114099.pdf
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