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Geodetic Number and Geo-Chromatic Number of 2-Cartesian Product of Some Graphs
《Open Journal of Discrete Mathematics》2022年第1期1-16,共16页Medha Itagi Huilgol B. Divya 
A set S ⊆ V (G) is called a geodetic set if every vertex of G lies on a shortest u-v path for some u, v ∈ S, the minimum cardinality among all geodetic sets is called geodetic numb...
关键词：Cartesian Product Grid Graphs Geodetic Set Geodetic Number Chromatic Set Chromatic Number Geo-Chromatic Set Geo-Chromatic Number 
Game Chromatic Number of Some Regular Graphs
《Open Journal of Discrete Mathematics》2019年第4期159-164,共6页Ramy Shaheen Ziad Kanaya Khaled Alshehada 
Let G be a graph and k be a positive integer. We consider a game with two players Alice and Bob who alternate in coloring the vertices of G with a set of k colors. In every turn, one vertex will be chosen by one playe...
关键词：GAME CHROMATIC NUMBER CIRCULANT GRAPH Generalized Petersen GRAPHS 
On a Sufficient and Necessary Condition for Graph Coloring
《Open Journal of Discrete Mathematics》2014年第1期1-5,共5页Maodong Ye 
Using the linear space over the binary field that related to a graph G, a sufficient and necessary condition for the chromatic number of G is obtained.
关键词：VERTEX COLORING CHROMATIC Number Outer-Kernel SUBSPACE PLANE Graph 
Multiple Circular Colouring as a Model for Scheduling
《Open Journal of Discrete Mathematics》2013年第3期162-166,共5页Bing Zhou 
In this article we propose a new model for scheduling periodic tasks. The model is based on a variation of the circular chromatic number, called the multiple circular colouring of the conflict graph. We show that for ...
关键词：Graph COLORING CIRCULAR CHROMATIC NUMBER Fractional CHROMATIC NUMBER Multi-Circular COLORING SCHEDULING Problem 
Further Results on Acyclic Chromatic Number
《Open Journal of Discrete Mathematics》2013年第2期97-100,共4页P. Shanas Babu A. V. Chithra 
An acyclic coloring of a graph is a proper vertex coloring such that the union of any two color classes induces a disjoint collection of trees.The purpose of this paper is to derive exact values of acyclic chromatic n...
关键词：ACYCLIC COLORING ACYCLIC CHROMATIC Number CENTRAL GRAPH MIDDLE GRAPH Total GRAPH 
Chromatic Number of Graphs with Special Distance Sets-V
《Open Journal of Discrete Mathematics》2013年第1期1-6,共6页Venkataraman Yegnanarayanan Angamuthu Parthiban 
An integer distance graph is a graph G(Z,D) with the set of integers as vertex set and an edge joining two vertices u and?v if and only if ∣u - v∣D where D is a subset of the positive integers. It is known that x(G(...
关键词：PRIMES CHROMATIC Number DISTANCE GRAPHS 
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