On the local base set of primitive and nonpowerful signed digraphs
Guanglong Yu, Zhengke Miao
TL;DR
This paper investigates the local bases of primitive nonpowerful sign pattern matrices, identifies gaps in the local base set, and characterizes matrices with specific local bases, advancing understanding of their structural properties.
Contribution
It introduces the concept of gaps in local bases and characterizes sign pattern matrices with particular local bases, providing new insights into their structure.
Findings
Identification of gaps in the local base set
Characterization of sign pattern matrices with given local bases
Structural insights into primitive nonpowerful sign pattern matrices
Abstract
In this paper, we consider the local bases of primitive nonpowerful sign pattern matrices, show that there are "gaps" in the local base set and characterize some sign pattern matrices with given local bases.
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Taxonomy
Topicsgraph theory and CDMA systems · Graph Labeling and Dimension Problems · Graph theory and applications