Finding the Number of Weak Homomorphisms of Paths

Let G and H be graphs. A mapping f from VG to VH is called a weak homomorphism from G to H if fx=fy or fx,fy∈EH whenever x,y∈EG. In this paper, we provide an algorithm to determine the number of weak homomorphisms of paths.

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Main Authors: Tawatchai Pomsri, Wannasiri Wannasit, Sayan Panma
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/2153927
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author Tawatchai Pomsri
Wannasiri Wannasit
Sayan Panma
author_facet Tawatchai Pomsri
Wannasiri Wannasit
Sayan Panma
author_sort Tawatchai Pomsri
collection DOAJ
description Let G and H be graphs. A mapping f from VG to VH is called a weak homomorphism from G to H if fx=fy or fx,fy∈EH whenever x,y∈EG. In this paper, we provide an algorithm to determine the number of weak homomorphisms of paths.
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institution Kabale University
issn 2314-4785
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publishDate 2022-01-01
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series Journal of Mathematics
spelling doaj-art-6369607f1f0c485d8a285bf78ccc70152025-02-03T01:24:29ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2153927Finding the Number of Weak Homomorphisms of PathsTawatchai Pomsri0Wannasiri Wannasit1Sayan Panma2Graduate Masters Degree Program in MathematicsDepartment of MathematicsDepartment of MathematicsLet G and H be graphs. A mapping f from VG to VH is called a weak homomorphism from G to H if fx=fy or fx,fy∈EH whenever x,y∈EG. In this paper, we provide an algorithm to determine the number of weak homomorphisms of paths.http://dx.doi.org/10.1155/2022/2153927
spellingShingle Tawatchai Pomsri
Wannasiri Wannasit
Sayan Panma
Finding the Number of Weak Homomorphisms of Paths
Journal of Mathematics
title Finding the Number of Weak Homomorphisms of Paths
title_full Finding the Number of Weak Homomorphisms of Paths
title_fullStr Finding the Number of Weak Homomorphisms of Paths
title_full_unstemmed Finding the Number of Weak Homomorphisms of Paths
title_short Finding the Number of Weak Homomorphisms of Paths
title_sort finding the number of weak homomorphisms of paths
url http://dx.doi.org/10.1155/2022/2153927
work_keys_str_mv AT tawatchaipomsri findingthenumberofweakhomomorphismsofpaths
AT wannasiriwannasit findingthenumberofweakhomomorphismsofpaths
AT sayanpanma findingthenumberofweakhomomorphismsofpaths