A new family of chromatically unique 6-bridge graph

Abstract: For a graph G, let P(G,λ) denote the chromatic polynomial of G. Two graphs G and H are chromatically equivalent (or simply χ-equivalent), denoted by G∼ H, if P(G,λ)=P(H,λ). A graph G is chromatically unique (or simply χ-unique) if for...

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Autores principales: Karim,N. S. A., Hasni,R.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2018
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200239
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spelling oai:scielo:S0716-091720180002002392018-05-29A new family of chromatically unique 6-bridge graphKarim,N. S. A.Hasni,R. Chromatic polynomial Chromatically unique 6-bridge graph. Abstract: For a graph G, let P(G,λ) denote the chromatic polynomial of G. Two graphs G and H are chromatically equivalent (or simply χ-equivalent), denoted by G∼ H, if P(G,λ)=P(H,λ). A graph G is chromatically unique (or simply χ-unique) if for any graph H such as H∼ G, we have H≅ G, i.e, H is isomorphic to G. In this paper, the chromatic uniqueness of a new family of 6-bridge graph θ (a,a,b,b,b,c) where 2≤ a≤ b≤ c, is investigated.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.2 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200239en10.4067/S0716-09172018000200239
institution Scielo Chile
collection Scielo Chile
language English
topic Chromatic polynomial
Chromatically unique
6-bridge graph.
spellingShingle Chromatic polynomial
Chromatically unique
6-bridge graph.
Karim,N. S. A.
Hasni,R.
A new family of chromatically unique 6-bridge graph
description Abstract: For a graph G, let P(G,λ) denote the chromatic polynomial of G. Two graphs G and H are chromatically equivalent (or simply χ-equivalent), denoted by G∼ H, if P(G,λ)=P(H,λ). A graph G is chromatically unique (or simply χ-unique) if for any graph H such as H∼ G, we have H≅ G, i.e, H is isomorphic to G. In this paper, the chromatic uniqueness of a new family of 6-bridge graph θ (a,a,b,b,b,c) where 2≤ a≤ b≤ c, is investigated.
author Karim,N. S. A.
Hasni,R.
author_facet Karim,N. S. A.
Hasni,R.
author_sort Karim,N. S. A.
title A new family of chromatically unique 6-bridge graph
title_short A new family of chromatically unique 6-bridge graph
title_full A new family of chromatically unique 6-bridge graph
title_fullStr A new family of chromatically unique 6-bridge graph
title_full_unstemmed A new family of chromatically unique 6-bridge graph
title_sort new family of chromatically unique 6-bridge graph
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2018
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200239
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AT karimnsa newfamilyofchromaticallyunique6bridgegraph
AT hasnir newfamilyofchromaticallyunique6bridgegraph
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