3 papers
math.CO2022
Component graphs of vector spaces and zero-divisor graphs of ordered sets
Nilesh Khandekar, Peter J. Cameron, Vinayak Joshi
In this paper, nonzero component graphs and nonzero component union graphs of finite dimensional vector space are studied using the zero-divisor graph of specially constructed 0-1-…
math.CO2022
Coloring of zero-divisor graphs of posets and applications to graphs associated with algebraic structures
Nilesh Khandekar, Vinayak Joshi
In this paper, we characterize chordal and perfect zero-divisor graphs of finite posets. Also, it is proved that the zero-divisor graphs of finite posets and the complement of zero…
math.AC2021
-elements in multiplicative lattices -- A generalization of -ideals, -ideals and -ideals in rings
Sachin Sarode, Vinayak Joshi
In this paper, we introduce a concept of -element with respect to an -closed set in multiplicative lattices and study properties of -e…