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- Title
On (r, 2, (r - 1)(r - 1))-Regular Graphs.
- Authors
Maheswari, N. R. Santhi; Sekar, C.
- Abstract
A graph G is called (r, 2, k)-regular if d(v) = r and d2 (v) = k for all v in G. In this paper, we study few properties possessed by (r, 2, k)- regular graphs. Further, we discuss in particular the (r, 2, (r - 1)(r - 1))-regular graphs and have given a method to construct (r, 2, (r - 1)(r - 1))-regular graph on 4 x 2r-2 vertices.
- Subjects
REGULAR graphs; DIAMETER; MATHEMATICAL analysis; MATHEMATICS; DISTANCES; TOPOLOGICAL degree
- Publication
International Journal of Mathematical Combinatorics, 2012, Vol 4, p40
- ISSN
1937-1055
- Publication type
Article