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<p>This paper explores the concept of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41870_2024_2364_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\delta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>δ</mi> </math></EquationSource> </InlineEquation>-labeling in graph theory, introduced in 2021. It addresses the problem of identifying graphs that can be labeled with <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41870_2024_2364_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\delta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>δ</mi> </math></EquationSource> </InlineEquation>-labeling and presents generalized results for various graph families. These include path-allied graphs, cycle-related graphs, unicycle graphs, and hairy cycles. Practical algorithms are provided for selected graph types, with an application to DNA sequence alignment demonstrated.</p>

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Effective delta-labeling exploration algorithms for graph representation and DNA sequence alignment

  • 期刊论文

  • 发表日期：

    2025年1月9日

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  • A. Sethukkarasi,
  • S. Vidyanandini,
  • A. El-Mesady

摘要

This paper explores the concept of \(\delta\) δ -labeling in graph theory, introduced in 2021. It addresses the problem of identifying graphs that can be labeled with \(\delta\) δ -labeling and presents generalized results for various graph families. These include path-allied graphs, cycle-related graphs, unicycle graphs, and hairy cycles. Practical algorithms are provided for selected graph types, with an application to DNA sequence alignment demonstrated.