Groups with maximum vertex degree commuting graphs (Record no. 21926)

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fixed length control field a
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control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241216101648.0
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fixed length control field 241216b xxu||||| |||| 00| 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency AIKTC-KRRC
Transcribing agency AIKTC-KRRC
100 ## - MAIN ENTRY--PERSONAL NAME
9 (RLIN) 24810
Author Bhunia, Sushil
245 ## - TITLE STATEMENT
Title Groups with maximum vertex degree commuting graphs
250 ## - EDITION STATEMENT
Volume, Issue number Vol.55(1), Mar
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New Delhi
Name of publisher, distributor, etc. Springer
Year 2024
300 ## - PHYSICAL DESCRIPTION
Pagination 234-241p.
520 ## - SUMMARY, ETC.
Summary, etc. Let G be a finite non-abelian group and Z(G) be its center. We associate a commuting graph to G, whose vertex set is and two distinct vertices are adjacent if they commute. In this paper we prove that the set of all non-abelian groups whose commuting graph has maximum vertex degree bounded above by a fixed is finite. Also, we characterize all groups for which the associated commuting graphs have maximum vertex degree at most 4.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
9 (RLIN) 4642
Topical term or geographic name entry element Humanities and Applied Sciences
700 ## - ADDED ENTRY--PERSONAL NAME
9 (RLIN) 24811
Co-Author Arunkumar, G.
773 0# - HOST ITEM ENTRY
Place, publisher, and date of publication New Delhi Indian National Science Academy
Title Indian journal of pure and applied mathematics
International Standard Serial Number 0019-5588
856 ## - ELECTRONIC LOCATION AND ACCESS
URL https://link.springer.com/article/10.1007/s13226-022-00359-x
Link text Click here
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    Dewey Decimal Classification     School of Engineering & Technology School of Engineering & Technology Archieval Section 16/12/2024   2024-1562 16/12/2024 16/12/2024 Articles Abstract Database
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