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Arithmetic graphs

✍ Scribed by B. D. Acharya; S. M. Hegde

Publisher: John Wiley and Sons
Year: 1990
Tongue: English
Weight: 849 KB
Volume: 14
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190140302

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✦ Synopsis

Abstract

A (p, q)‐graph G is said to be (k, d)‐arithmetic if its vertices can be assigned distinct nonnegative integers so that the values of the edges, obtained as the sums of the numbers assigned to their end vertices, can be arranged in the arithmetic progression k, k + d, k + 2__d__, …, k + (q ‐ 1)d. In this paper we initiate a study on the structures of finite (k, d)‐arithmetic graphs.

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