论文标题

Prime,复合和基本的Kirchhoff图

Prime, composite and fundamental Kirchhoff graphs

论文作者

Wang, Jessica, Fehribach, Joseph

论文摘要

Kirchhoff图是带有正交循环和顶点切割的向量图。已经开发了一种算法,该算法将所有Kirchhoff图形构造到固定的边缘多重性。该算法用于探索主要的基尔chhoff图形瓷砖的结构。在给定一组基本的基尔chhoff图的情况下,无限的许多原始基尔chhoff图的存在,以及存在最小的多重性,对于存在的基尔chhoff图。

A Kirchhoff graph is a vector graph with orthogonal cycles and vertex cuts. An algorithm has been developed that constructs all the Kirchhoff graphs up to a fixed edge multiplicity. This algorithm is used to explore the structure of prime Kirchhoff graph tilings. The existence of infinitely many prime Kirchhoff graphs given a set of fundamental Kirchhoff graphs is established, as is the existence of a minimal multiplicity for Kirchhoff graphs to exist.

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