二部点积图

IF 0.9 Q3 COMPUTER SCIENCE, THEORY & METHODS

International Journal of Computer Mathematics: Computer Systems Theory Pub Date : 2020-06-23 DOI:10.1080/23799927.2020.1779820

Sean Bailey, David E. Brown

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引用次数: 0

摘要

给定一个二部图，G的二部点积表示是一个函数和一个正阈值t，使得对于任意且当且仅当。使G存在二部点积表示的最小k是G的二部点积维数，记为。我们将证明所有二部图都存在这样的表示，并给出任何图的二部点积维数的上界。我们也将用二部点积维数为1的二部图的禁忌子图来描述二部图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bipartite dot product graphs

Given a bipartite graph , the bipartite dot product representation of G is a function and a positive threshold t such that for any and , if and only if . The minimum k such that a bipartite dot product representation exists for G is the bipartite dot product dimension of G, denoted . We will show that such representations exist for all bipartite graphs as well as give an upper bound for the bipartite dot product dimension of any graph. We will also characterize the bipartite graphs of bipartite dot product dimension 1 by their forbidden subgraphs.

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来源期刊

International Journal of Computer Mathematics: Computer Systems Theory Computer Science-Computational Theory and Mathematics

CiteScore

1.80

自引率

0.00%

发文量