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<p>In this paper, we have constructed a color-induced signed graph on an algebraic graph known as the <i>L</i>(2,&#xa0;1) non-inverse signed graph concerning the <i>L</i>(2,&#xa0;1)-coloring of the graph. We have determined the <i>L</i>-span of the non-inverse graph, further extending our study to its structural aspects. The structural aspects, such as clusterability, planarity, and chordality, are studied concerning the signed graph. Moreover, we have also defined automorphism of the graph and investigated the signed vertex-transitivity and signed edge-transitivity of the graph. Further, we have defined the line signed graph of the <i>L</i>(2,&#xa0;1) non-inverse signed graph and have defined a mapping that results in a homomorphism from the graph to its line signed graph.</p>

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On L(2, 1) Non-inverse Signed Graph of a Finite Group

  • 期刊论文

  • 发表日期：

    2025年8月6日

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  • Sudev Naduvath,
  • Divya Bankapur

摘要

In this paper, we have constructed a color-induced signed graph on an algebraic graph known as the L(2, 1) non-inverse signed graph concerning the L(2, 1)-coloring of the graph. We have determined the L-span of the non-inverse graph, further extending our study to its structural aspects. The structural aspects, such as clusterability, planarity, and chordality, are studied concerning the signed graph. Moreover, we have also defined automorphism of the graph and investigated the signed vertex-transitivity and signed edge-transitivity of the graph. Further, we have defined the line signed graph of the L(2, 1) non-inverse signed graph and have defined a mapping that results in a homomorphism from the graph to its line signed graph.