N-Sun Decomposition of Complete, Complete Bipartite and Some Harary Graphs

Main Authors: R. Anitha, R. S. Lekshmi
Format: Article Journal
Bahasa: eng
Terbitan: , 2008
Subjects:
Online Access: https://zenodo.org/record/1058671
Daftar Isi:
  • Graph decompositions are vital in the study of combinatorial design theory. A decomposition of a graph G is a partition of its edge set. An n-sun graph is a cycle Cn with an edge terminating in a vertex of degree one attached to each vertex. In this paper, we define n-sun decomposition of some even order graphs with a perfect matching. We have proved that the complete graph K2n, complete bipartite graph K2n, 2n and the Harary graph H4, 2n have n-sun decompositions. A labeling scheme is used to construct the n-suns.