On Induced Matching Numbers of Stacked-Book Graphs

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Main Authors: T. C. Adefokun, O. L. Ogundipe, D. O. Ajayi
Format: Recurso digital
Published: Zenodo 2024
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_version_ 1866902164874461184
author T. C. Adefokun
O. L. Ogundipe
D. O. Ajayi
author_facet T. C. Adefokun
O. L. Ogundipe
D. O. Ajayi
contents <div><span>For a simple undirected graph </span><span>G</span><span>, an induced matching in </span><span>G </span><span>is a set of edges </span><span>M </span><span>no two of </span><span>which have common vertex or are joined by an edge of </span><span>G </span><span>in the edge set </span><span>E</span><span>(</span><span>G</span><span>) </span><span>of </span><span>G</span><span>. Denoted </span><span>by </span><span>im(</span><span>G</span><span>)</span><span>, the maximum cardinal number of </span><span>M </span><span>is known as the induced matching number of </span><span>G</span><span>. In this work, we probe </span><span>im(</span><span>G</span><span>) </span><span>where </span><span>G </span><span>= </span><span>G</span><span>m,n</span><span>, which is the stacked-book graph obtained </span><span>by the Cartesian product of the star graph </span><span>S</span><span>m </span><span>and path </span><span>P</span><span>n</span><span>.</span></div>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_14710725
institution Zenodo
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publishDate 2024
publisher Zenodo
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spellingShingle On Induced Matching Numbers of Stacked-Book Graphs
T. C. Adefokun
O. L. Ogundipe
D. O. Ajayi
Stacked-Book Graphs
Maximum Induced Matching Number
Cartesian Product of Graphs
<div><span>For a simple undirected graph </span><span>G</span><span>, an induced matching in </span><span>G </span><span>is a set of edges </span><span>M </span><span>no two of </span><span>which have common vertex or are joined by an edge of </span><span>G </span><span>in the edge set </span><span>E</span><span>(</span><span>G</span><span>) </span><span>of </span><span>G</span><span>. Denoted </span><span>by </span><span>im(</span><span>G</span><span>)</span><span>, the maximum cardinal number of </span><span>M </span><span>is known as the induced matching number of </span><span>G</span><span>. In this work, we probe </span><span>im(</span><span>G</span><span>) </span><span>where </span><span>G </span><span>= </span><span>G</span><span>m,n</span><span>, which is the stacked-book graph obtained </span><span>by the Cartesian product of the star graph </span><span>S</span><span>m </span><span>and path </span><span>P</span><span>n</span><span>.</span></div>
title On Induced Matching Numbers of Stacked-Book Graphs
topic Stacked-Book Graphs
Maximum Induced Matching Number
Cartesian Product of Graphs
url https://doi.org/10.5281/zenodo.14710725