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Baby Chacko

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Research paper thumbnail of On the zero forcing number of graphs and their splitting graphs

In [10], the notion of the splitting graph of a~graph was introduced. In this paper we compute th... more In [10], the notion of the splitting graph of a~graph was introduced. In this paper we compute the zero forcing number of the splitting graph of a graph and also obtain some bounds besides finding the exact value of this parameter. We prove for any connected graph \(\Gamma\) of order \(n \ge 2\), \(Z[S(\Gamma)]\le 2 Z(\Gamma)\) and also obtain many classes of graph in which \(Z[S(\Gamma)]= 2 Z(\Gamma)\). Further, we show some classes of graphs in which \(Z[S(\Gamma)] < 2 Z(\Gamma)\).

Research paper thumbnail of ⋆-closure Operators on Čech Closure Space

Journal of Computer and Mathematical Sciences, 2018

Research paper thumbnail of On supra ideal topological space via R-I-open sets

Malaya Journal of Matematik, 2019

In this paper, we introduce a new class of sets and functions in a supra ideal topological space.... more In this paper, we introduce a new class of sets and functions in a supra ideal topological space. We give characterizations of supra R-I-open sets and study supra R-I-continuous functions, supra * R-I-continuous functions, supra R-I-irresolute functions, supra R-I-open maps, supra R-I-closed maps, supra R-I-homeomorphism. Separation axioms in terms of supra R-I-open sets are also studied.

Research paper thumbnail of On the zero forcing number of graphs and their splitting graphs

In [10], the notion of the splitting graph of a~graph was introduced. In this paper we compute th... more In [10], the notion of the splitting graph of a~graph was introduced. In this paper we compute the zero forcing number of the splitting graph of a graph and also obtain some bounds besides finding the exact value of this parameter. We prove for any connected graph \(\Gamma\) of order \(n \ge 2\), \(Z[S(\Gamma)]\le 2 Z(\Gamma)\) and also obtain many classes of graph in which \(Z[S(\Gamma)]= 2 Z(\Gamma)\). Further, we show some classes of graphs in which \(Z[S(\Gamma)] < 2 Z(\Gamma)\).

Research paper thumbnail of ⋆-closure Operators on Čech Closure Space

Journal of Computer and Mathematical Sciences, 2018

Research paper thumbnail of On supra ideal topological space via R-I-open sets

Malaya Journal of Matematik, 2019

In this paper, we introduce a new class of sets and functions in a supra ideal topological space.... more In this paper, we introduce a new class of sets and functions in a supra ideal topological space. We give characterizations of supra R-I-open sets and study supra R-I-continuous functions, supra * R-I-continuous functions, supra R-I-irresolute functions, supra R-I-open maps, supra R-I-closed maps, supra R-I-homeomorphism. Separation axioms in terms of supra R-I-open sets are also studied.

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