Classes of Symmetric Cayley Graphs over Finite Abelian Groups of Degrees 4 and 6
Crist\'obal Camarero, Carmen Mart\'inez, Ram\'on Beivide
TL;DR
This paper characterizes symmetric undirected Cayley graphs over finite Abelian groups specifically for degrees 4 and 6, expanding understanding of their structure and symmetry properties.
Contribution
It provides a complete classification of symmetric Cayley graphs over finite Abelian groups for degrees 4 and 6, which was previously not fully understood.
Findings
Complete characterization of symmetric Cayley graphs for degree 4
Complete characterization of symmetric Cayley graphs for degree 6
New structural insights into symmetry properties of these graphs
Abstract
The present work is devoted to characterize the family of symmetric undirected Cayley graphs over finite Abelian groups for degrees 4 and 6.
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Taxonomy
TopicsInterconnection Networks and Systems · graph theory and CDMA systems · Finite Group Theory Research