Please use this identifier to cite or link to this item: http://idr.nitk.ac.in/jspui/handle/123456789/12350
Title: On arithmetic graphs
Authors: Hegde, S.M.
Shetty, S.
Issue Date: 2002
Citation: Indian Journal of Pure and Applied Mathematics, 2002, Vol.33, 8, pp.1275-1283
Abstract: A (p, q)-graph G = (V, E) is said to be (k, d)-arithmetic, where k and d are positive integers if its p vertices admits a labeling of distinct non-negative integers such that the values of the edges obtained as the sums of the labels of their end vertices form the set {k, k + d, k + 2d, ..., k + (q - 1)d}. In this paper we prove that for all odd n, the generalized web graph W (t, n) and some cycle related graphs are (k, d)-arithmetic. Also we prove that a class of trees called Tp-trees and subdivision of Tp-trees are (k + q - 1) (d, d)-arithmetic for all positive integers k and d.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/12350
Appears in Collections:1. Journal Articles

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