IJPAM: Volume 81, No. 3 (2012)
ON TENSOR PRODUCT OF FAN GRAPH
Department of Mathematics
Faculty of Applied Science
King Mongkut's University of Technology North Bangkok
Bangkok, 10800, THAILAND
Centre of Excellence in Mathematics, CHE
Sri Ayutthaya Road, Bangkok, 10400, THAILAND
Abstract. Let and be the independent number and vertex covering number of , respectively. The Tensor product of graph of and has vertex set and edge set and . In this paper, let is a simple graph with order , we prove that, and .
Received: August 29, 2012
AMS Subject Classification: 05C69, 05C70, 05C76
Key Words and Phrases: tensor product, independent number, vertex covering number
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395