Research & Reviews: Discrete Mathematical Structures
Volume 6, Issue 2 (2019)
Published
Table of contents
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Codes Over Frobenius Groups
Abstract: AbstractIn this paper we consider the group algebra FG where G is Frobenius group of order , where and char(F) does not divide order of G. We find the generating idempotents in the group algebra of Frobenius group by using character theory. We also find the minimum distance and dimension of the codes generated by these idempotents.2010 Mathematics Subject Classification: 20G05, 20E45, 94B60Keywords: Group algebra, linear and non-linear characters, idempotents, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 2, 2019 · pp. 1–6 Read article
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Contra Harmonic Mean Labeling for Some Tree and Corona Related Graphs
Abstract: AbstractA graph G (V,E) is called a Contra Harmonic mean graph with p vertices and q edges, if it is possible to label the vertices xÎV with distinct element f(x) from 0, 1,…,q in such a way that when each edge e = uv is labeled with f(e=uv) = 16f(u)2+f(v)2f(u)+f(v)"> or 16f(u)2+f(v)2f(u)+f(v)"> with distinct edge labels. The mapping f is called Contra Harmonic mean labeling of G. Keywords: Graph, Contra …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 2, 2019 · pp. 24–29 Read article
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Injective Coloring Parameters of Some Special Classes of Graphs
Abstract: AbstractThe vertex coloring of a graph can be viewed as a random experiment and with respect to this experiment, a random variable can be defined such that denotes the color of an arbitrarily chosen vertex. In this paper, we broaden the ideas of coloring mean and variance of graphs with respect to a particular type of proper injective coloring and determine these parameters for some standard graph classes.MSC2010: 05C15, 05C38. …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 2, 2019 · pp. 30–41 Read article
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On b-Coloring Parameters of Some Classes of Graphs
Abstract: AbstractVertex coloring has always been a topic of interest. Motivated by the studies on -chromatic mean and variance of some standard graphs, in this paper, we obtain few results for -chromatic and -chromatic mean and variance of some cycle related graph classes. Here, Vertex coloring of a graph is taken to be the random experiment. Discrete random variable for this random experiment is the color of randomly chosen vertex of …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 2, 2019 · pp. 41–48 Read article
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Primitive Idempotents and Weight Distributions of Irreducible Cyclic Codes of Length 5l^m
Abstract: AbstractLet be a finite field with q elements such that and gcd = 1, where is a prime. In this paper, we give all primitive idempotents in a ring [x] . We give the weight distributions of all irreducible cyclic codes of length over . Keywords: Primitive Idempotents, Cyclotomic Cosets, Cyclic Codes. Cite this ArticleSunil Kumar, Manju Pruthi, Rahul. Primitive Idempotents and Weight Distributions of Irreducible Cyclic Codes of Length …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 2, 2019 · pp. 49–58 Read article
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Zagreb Degree Eccentricity Indices of Graphs
Abstract: AbstractLet G be a connected graph, the first Zagreb index M1(G) of G is defined as The second Zagreb index M2(G) of G is defined as In this paper we introduce first and second Zagreb degree eccentricity indices. Further, the first Zagreb degree eccentricity index of join, Cartesian product, tensor product, corona product of two graphs are computed. Keywords: Zagreb indices, Eccentricity, Degree, Zagreb degree eccentricity indices. Cite this ArticlePadmapriya …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 2, 2019 · pp. 59–69 Read article
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Common Fixed-Point Results for Weakly Increasing Dominating Maps on Vector b-Metric Spaces
Abstract: AbstractIn this paper, we consider E-b-metric space, which is a generalized vector metric space. This is a Riesz space valued metric space. Here, we prove some results concerning common fixed point for four mappings on E-b-metric space. This generalizes the results of Rahimi, Abbas and Rad [16]. Keywords: Dominating map, E-b-metric space, Weak annihilators, Weakly compatible, Weakly increasing Cite this ArticleMamta Kamra, Kumari Sarita, Renu Chugh. Common Fixed-Point Results for …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 2, 2019 · pp. 7–23 Read article