(2, R2(r ? 1))-Support Regular Graphs
Author : Dr. N.R.Santhi Maheswari, L.Subhalakshmi Journa Name: International Journal of Scientific Research & Engineering Trends Volume: 12 issue: 1 Year: Volume-12-issue-1 Views : 244A graph G is (2, r2(r ? 1))-support regular, if the 2-support of every vertex is r2(r ? 1), where r is the number of vertices at distance one and r(r ? 1) is the number of vertices at distance 2 for every vertex. This paper deals with the concept that, for r > 1, a r-regular graph of girth ? 5 is (2, r2(r ? 1)) support regular. The (2, r(r ? 1)2) support regular graph’s existence is also proved and illustrated. Construction of such graphs is also given with some of its properties
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