Some New Results on Integer Additive Set-Valued Signed Graphs
N. K. Sudev, P. K. Ashraf, K. A. Germina

TL;DR
This paper explores properties of signed graphs that admit specific types of integer additive set-labelings, focusing on the mathematical structure and characteristics of such labelings.
Contribution
It introduces new results on integer additive set-labelings for signed graphs, expanding understanding of their structural properties and labeling conditions.
Findings
Characterization of signed graphs with certain IASL properties
Conditions for the existence of specific IASL types in signed graphs
New theoretical insights into set-labeling structures
Abstract
Let denotes a set of non-negative integers and be its power set. An integer additive set-labeling (IASL) of a graph is an injective set-valued function such that the induced function is defined by , where is the sumset of and . An IASL of a signed graph is an IASL of its underlying graph together with the signature defined by . In this paper, we discuss certain characteristics of the signed graphs which admits certain types of integer additive set-labelings.
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Taxonomy
TopicsGraph Labeling and Dimension Problems · Advanced Graph Theory Research · graph theory and CDMA systems
