Affiliation:
1. Department of Mathematics, The Gandhigram Rural Institute – Deemed to be University, Gandhigram-624 302, Tamil Nadu, India
Abstract
The reduced power graph [Formula: see text] of a group [Formula: see text] is the graph whose vertex set is the set of all elements of [Formula: see text], and two vertices [Formula: see text] and [Formula: see text] are adjacent in [Formula: see text] if and only if [Formula: see text] or [Formula: see text]. The proper reduced power graph [Formula: see text] is the subgraph of [Formula: see text] induced by the set of all nontrivial elements of [Formula: see text]. In this paper, we study the planarity, toroidality and projective planarity of (proper) reduced power graph of a group.
Funder
University Grants Commission - India
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
11 articles.
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