On the number of connected components of divisibility graph for certain simple groups

The divisibility graph D(G) D(G) for a finite group G G is a graph with vertex set cs(G)∖{1} cs(G)∖{1}‎ ‎where cs(G) cs(G) is the set of conjugacy class sizes of G G‎. ‎Two vertices a a and b b are adjacent whenever a a divides‎ ‎b b or b b divides a a‎. ‎In this paper we will find the number of con...

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Bibliographic Details
Main Authors: Adeleh Abdolghafourian, Mohammad Ali Iranmanesh
Format: Article
Language:English
Published: University of Isfahan 2016-06-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/article_8595_8e231b4595dc014a92b1ce8c12a9732f.pdf