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14 results on '"Biswas, Sucharita"'

1. On a family of quasi-strongly regular Cayley graphs

Author

Biswas, Sucharita and Das, Angsuman

Subjects
Mathematics - Group Theory, Mathematics - Combinatorics, 05E30, 05C25, 20B25, 05E18
Abstract

In this paper, we construct a family of quasi-strongly regular Cayley graphs $\Gamma_H(G)$ which is defined on a finite group $G$ with respect to a subgroup $H$ of $G$. We also compute its full automorphism group and characterize various transitivity properties of it., Comment: 13 pages, 1 figure

Published
2024

2. On Automorphism Group of a Family of Symmetric Graphs

Author

Biswas, Sucharita

Subjects
Mathematics - Combinatorics, 05C12, 05E18, 20B25
Abstract

In this paper, we study the automorphism group and geodesic transitivity of a family of vertex-transitive graphs $H(n,k)$, introduced by Fu-Tao Hu \textit{et.al.} in 2010. In the process, we address some naturally arising, unanswered questions from that paper.

Published
2024

3. On Difference of Enhanced Power Graph and Power Graph of a Finite Group

Author

Biswas, Sucharita, Cameron, Peter J., Das, Angsuman, and Dey, Hiranya Kishore

Subjects
Mathematics - Combinatorics, Mathematics - Group Theory, 05C25, 05C17
Abstract

The difference graph $D(G)$ of a finite group $G$ is the difference of enhanced power graph of $G$ and power graph of $G$, with all isolated vertices are removed. In this paper we study the connectedness and perfectness of $D(G)$ with respect to various properties of the underlying group $G$. We also find several connection between the difference graph of $G$ and the Gruenberg-Kegel graph of $G$., Comment: 28 pages

Published
2022
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5. On Perfectness of Annihilating-Ideal Graph of $\mathbb{Z}_n$

Author

Saha, Manideepa, Biswas, Sucharita, and Das, Angsuman

Subjects
Mathematics - Combinatorics, 05C25, 05C17
Abstract

The annihilating-ideal graph of a commutative ring $R$ with unity is defined as the graph $\mathbb{AG}(R)$ with the vertex set is the set of all non-zero ideals with non-zero annihilators and two distinct vertices $I$ and $J$ are adjacent if and only if $IJ = 0$. Nikandish {\it et.al.} proved that $\mathbb{AG}(\mathbb{Z}_n)$ is weakly perfect. In this short paper, we characterize $n$ for which $\mathbb{AG}(\mathbb{Z}_n)$ is perfect., Comment: 9 pages, 0 figures

Published
2021
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6. A Family of Tetravalent Half-transitive Graphs

Author

Biswas, Sucharita and Das, Angsuman

Subjects
Mathematics - Combinatorics, 05C25, 20B25
Abstract

In this paper, we introduce a new family of graphs, $\Gamma(n,a)$. We show that it is an infinite family of tetravalent half-transitive Cayley graphs. Apart from that, we determine some structural properties of $\Gamma(n,a)$., Comment: 30 pages

Published
2020

7. Generalized Andrásfai Graphs

Author

Biswas Sucharita, Das Angsuman, and Saha Manideepa

Subjects
circulant graph, automorphism group, 05c25, 05e18, Mathematics, QA1-939
Abstract

In this paper, we introduce a new family of circulants GA(t, k), called Generalized Andrásfai graphs, where t, k ≥ 2 are integers. We study various parameters like diameter, girth, domination number etc. of GA(t, k). Moreover, we find the full automorphism group of GA(t, k) and compute its determining number.

Published
2022
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11. On perfectness of annihilating-ideal graph of ℤn.

Author

Saha, Manideepa, Biswas, Sucharita, and Das, Angsuman

Subjects
*CHARTS, diagrams, etc., *GRAPHIC methods, *GEOMETRIC vertices, *MATHEMATICS, *INDEXES
Abstract

The annihilating-ideal graph of a commutative ring R with unity is deffned as the graph AG(R) whose vertex set is the set of all non-zero ideals with non-zero annihilators and two distinct vertices I and J are adjacent if and only if IJ = 0. Nikan-dish et.al. proved that AG(Zn) is weakly perfect. In this short paper, we characterize n for which AG(Zn) is perfect. [ABSTRACT FROM AUTHOR]

Published
2023
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12. On perfectness of annihilating-ideal graph of ℤn.

Author

Saha, Manideepa, Biswas, Sucharita, and Das, Angsuman

Subjects
CHARTS, diagrams, etc., GRAPHIC methods, GEOMETRIC vertices, MATHEMATICS, INDEXES
Abstract

The annihilating-ideal graph of a commutative ring R with unity is deffned as the graph AG(R) whose vertex set is the set of all non-zero ideals with non-zero annihilators and two distinct vertices I and J are adjacent if and only if IJ = 0. Nikan-dish et.al. proved that AG(Zn) is weakly perfect. In this short paper, we characterize n for which AG(Zn) is perfect. [ABSTRACT FROM AUTHOR]

Published
2023
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13. ON CO-MAXIMAL SUBGROUP GRAPH OF Zn.

Author

SAHA, MANIDEEPA, BISWAS, SUCHARITA, and DAS, ANGSUMAN

Subjects
*ISOMORPHISM (Mathematics), *DOMINATING set, *DIAMETER
Abstract

The co-maximal subgroup graph Γ(G) of a group G is a graph whose vertices are non-trivial proper subgroups of G and two vertices H and K are adjacent if HK = G. In this paper, we study and characterize various properties like diameter, domination number, perfectness, hamiltonicity, etc. of Γ(Zn). [ABSTRACT FROM AUTHOR]

Published
2022
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14. ON CO-MAXIMAL SUBGROUP GRAPH OF Zn.

Author

SAHA, MANIDEEPA, BISWAS, SUCHARITA, and DAS, ANGSUMAN

Subjects
ISOMORPHISM (Mathematics), DOMINATING set, DIAMETER
Abstract

The co-maximal subgroup graph Γ(G) of a group G is a graph whose vertices are non-trivial proper subgroups of G and two vertices H and K are adjacent if HK = G. In this paper, we study and characterize various properties like diameter, domination number, perfectness, hamiltonicity, etc. of Γ(Zn). [ABSTRACT FROM AUTHOR]

Published
2022
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