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INTERNATIONAL JOURNAL OF CREATIVE RESEARCH THOUGHTS - IJCRT (IJCRT.ORG)
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ISSN Approved Journal No: 2320-2882 | Impact factor: 7.97 | ESTD Year: 2013
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Paper Title
Graph Theory : Vertex Colorings and Upper Bounds
Authors
BHARATHI S N
Keywords
Graph coloring, Vertex coloring, Chromatic number, Color-class, Greedy coloring, Gallai-Roy-Vitaver Theorem
Abstract
Graph theory is a branch of Mathematics that deals with the study of graphs, which are mathematical structures used to model relationships between objects. It consists of set of vertices and a set of edges that connect pairs of vertices. Vertex coloring is a fundamental concept that assigns colors to the vertices of a graph such that no two adjacent receive the same color. The minimum number of colors required to color the vertices of a graph is known as the chromatic number of the graph. An upper bound on the chromatic number of a Graph is a value that is guaranteed to be greater than or equal to the chromatic number. In this paper some common upper bounds for the chromatic number is studied.
IJCRT's Publication Details
Unique Identification Number - IJCRT2307410
Paper ID - 241226
Page Number(s) - d560-d565
Pubished in - Volume 11 | Issue 7 | July 2023
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Publisher Name - IJCRT | www.ijcrt.org | ISSN : 2320-2882
E-ISSN Number - 2320-2882
Cite this article
BHARATHI S N, "Graph Theory : Vertex Colorings and Upper Bounds", International Journal of Creative Research Thoughts (IJCRT), ISSN:2320-2882, Volume.11, Issue 7, pp.d560-d565, July 2023, Available at :http://www.ijcrt.org/papers/IJCRT2307410.pdf
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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