Fork-decomposition of strong product of graphs

Decomposition of arbitrary graphs into subgraphs of small size is assuming importance in the literature. There are several studies on the isomorphic decomposition of graphs into paths, cycles, trees, stars, sunlet etc. Fork is a tree obtained by subdividing any edge of a star of size three exactly o...

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Main Authors: Samuel Issacraj, Paulraj Joseph
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2023-12-01
Series:Ratio Mathematica
Subjects:
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/1134
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author Samuel Issacraj
Paulraj Joseph
author_facet Samuel Issacraj
Paulraj Joseph
author_sort Samuel Issacraj
collection DOAJ
description Decomposition of arbitrary graphs into subgraphs of small size is assuming importance in the literature. There are several studies on the isomorphic decomposition of graphs into paths, cycles, trees, stars, sunlet etc. Fork is a tree obtained by subdividing any edge of a star of size three exactly once. In this paper, we investigate the necessary and sufficient for the fork-decomposition of Strong product of graphs.
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spelling doaj.art-8d82c44d5d774db1b751eb1cad8700302023-12-30T21:04:20ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-12-0148010.23755/rm.v48i0.1134828Fork-decomposition of strong product of graphsSamuel Issacraj0Paulraj Joseph1Manonmaniam Sundaranar University, TirunelveliManonmaniam Sundaranar University, TirunelveliDecomposition of arbitrary graphs into subgraphs of small size is assuming importance in the literature. There are several studies on the isomorphic decomposition of graphs into paths, cycles, trees, stars, sunlet etc. Fork is a tree obtained by subdividing any edge of a star of size three exactly once. In this paper, we investigate the necessary and sufficient for the fork-decomposition of Strong product of graphs.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1134decomposition, fork, product graph, strong product
spellingShingle Samuel Issacraj
Paulraj Joseph
Fork-decomposition of strong product of graphs
Ratio Mathematica
decomposition, fork, product graph, strong product
title Fork-decomposition of strong product of graphs
title_full Fork-decomposition of strong product of graphs
title_fullStr Fork-decomposition of strong product of graphs
title_full_unstemmed Fork-decomposition of strong product of graphs
title_short Fork-decomposition of strong product of graphs
title_sort fork decomposition of strong product of graphs
topic decomposition, fork, product graph, strong product
url http://eiris.it/ojs/index.php/ratiomathematica/article/view/1134
work_keys_str_mv AT samuelissacraj forkdecompositionofstrongproductofgraphs
AT paulrajjoseph forkdecompositionofstrongproductofgraphs