IJPAM: Volume 87, No. 1 (2013)
K. Kannan4, S.K. Ayyaswamy5
1,2,4,5School of Humanities and Sciences
3Department of Mathematics
NIT, Trichy, INDIA
Abstract. In this paper, we give an algorithm that enables us to compute the neighbourhood of vertices of generalized tree obtained from a family of n stars having number of branches of those stars form an arithmetic progression (geometric progression) with common difference (ratio) j and one of the branches of each of those stars merged with one different point of a common path on n vertices successively in increasing order.
Received: May 25, 2013
AMS Subject Classification: 05C78, 05C10
Key Words and Phrases: tree arithmetic progression, geometric progression, hanging stars, free leaves
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DOI: 10.12732/ijpam.v87i1.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395