Version 1
: Received: 16 August 2018 / Approved: 17 August 2018 / Online: 17 August 2018 (11:24:33 CEST)
How to cite:
Ali, U.; Bokhary, S.A.U.H.; Ashraf, S. Chromatic Polynomial and Chromatic Uniqueness of Necklace Graph. Preprints2018, 2018080299. https://doi.org/10.20944/preprints201808.0299.v1.
Ali, U.; Bokhary, S.A.U.H.; Ashraf, S. Chromatic Polynomial and Chromatic Uniqueness of Necklace Graph. Preprints 2018, 2018080299. https://doi.org/10.20944/preprints201808.0299.v1.
Cite as:
Ali, U.; Bokhary, S.A.U.H.; Ashraf, S. Chromatic Polynomial and Chromatic Uniqueness of Necklace Graph. Preprints2018, 2018080299. https://doi.org/10.20944/preprints201808.0299.v1.
Ali, U.; Bokhary, S.A.U.H.; Ashraf, S. Chromatic Polynomial and Chromatic Uniqueness of Necklace Graph. Preprints 2018, 2018080299. https://doi.org/10.20944/preprints201808.0299.v1.
Abstract
For a graph G, let P(G, λ) be its chromatic polynomial. Two graphs G and H are said to be chromatically equivalent if P(G,λ) = P(H,λ). A graph is said to be chromatically unique if no other graph shares its chromatic polynomial. In this paper, chromatic polynomial of the necklace graphNn, for n ≥ 2 has been determined. It is further shown that N3 is chromatically unique.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
