# Associated Graphs of Certain Arithmetic IASI Graphs

Source: [Associated Graphs of Certain Arithmetic IASI Graphs](<https://www.sota2.com/research/paper/68fa51111e209131ce970aa1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:32.601Z

Authors: N. K. Sudev, K. A. Germina

Published: 2014-01-23T16:36:05.000Z

## Abstract

An integer additive set-indexer is defined as an injective function $f:V(G)\\rightarrow 2^{\\mathbb{N}\_0}$ such that the induced function $f^+:E(G) \\rightarrow 2^{\\mathbb{N}\_0}$ defined by $f^+ (uv) = f(u)+ f(v)$ is also injective. A graph $G$ which admits an IASI is called an IASI graph. An arithmetic integer additive set-indexer is an integer additive set-indexer $f$, under which the set-labels of all elements of a given graph $G$ are arithmetic progressions. In this paper, we discuss about admissibility of arithmetic integer additive set-indexers by certain associated graphs of the given graph $G$, like line graph, total graph, etc.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1401.6040>)

[PDF](<https://arxiv.org/pdf/1401.6040.pdf>)