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학술저널

ON THE MULTISET-REPRESENTABLE GRAPHS

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Journal of the Chungcheong Mathematical Society Volume 37, No. 4.jpg

A graph is said to be [[k]]-representable if we can assign a multiset on {1, 2, . . . , k} to each vertex such that two vertices are adjacent if and only if their corresponding multisets are comparable under set inclusion. A graph is said to be multiset-representable if it is [[k]]-representable for some positive integer k. In this paper, we study the basic properties of multiset-representability.

1. Introduction

2. The [[k]]-representability of graphs

3. On the multiset-indices of graphs

4. Concluding remarks

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