arrow
Return

On path-induced signed graphs

delete2026-02-27
delete0
PRE
AI
K
Kottarathil, Jomon *
N
Naduvath, Sudev
DOI:10.1007/s44426-026-00032-4delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
The path decomposition of a graph G is the process of decomposing it into edge-disjoint paths. An induced signed graph is a signed graph formed from an ordinary unsigned graph by assigning signs to its edges according to some protocol. In this paper, we introduce the notion of a path-induced signed graph as an induced signed graph whose edges receive a sign according to whether its end vertices are the end vertices of a path in a path decomposition of G. We also discuss some characteristics of this type of signed graph.
Keywords:
Signed graphs
Induced signed graphs
Path-induced signed graphs
Balance
Clusterability

Journal

A
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA
IF:
0.6
Papers:
30
Citations:
0

Organization

C
CHRIST University
Scholars:
479
Papers: 260
Citations: 0