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The main objective of this paper is to investigate the relation between the number of integers in a given subset .a of the integers 1, 2,. . ., n and the number of integers that can be chosen from 1, 2,. . ., n so that their pairwise products all appear in a. Other related problems are also considered. 1. INTRODUCTION The problems under investigation in the(More)
Given a labeling of the vertices and edges of a graph, we define a type of homo-geneity that requires that the neighborhood of every vertex contains the same number of each of the labels. This homogeneity constraint is a generalization of regularity – all such graphs are regular. We consider a specific condition in which both the edge and vertex label sets(More)
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