SD-Prime cordial labeling of alternate k-polygonal snake of various types

Abstract: Let f : V (G) → {1, 2,..., |V (G)|} be a bijection, and let us denote S = f(u) + f(v) and D = |f(u) − f(v)| for every edge uv in E(G). Let f' be the induced edge labeling, induced by the vertex labeling f, defined as f' : E(G) → {0, 1} such that for...

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Autores principales:	Prajapati,U. M., Vantiya,Anit
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	SD-prime cordial graph Triangular snake Alternate quadrilateral snake n-polygonal snake Alternate k-polygonal snake
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300619
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spelling	oai:scielo:S0716-091720210003006192021-06-07SD-Prime cordial labeling of alternate k-polygonal snake of various typesPrajapati,U. M.Vantiya,Anit SD-prime cordial graph Triangular snake Alternate quadrilateral snake n-polygonal snake Alternate k-polygonal snake Abstract: Let f : V (G) → {1, 2,..., \|V (G)\|} be a bijection, and let us denote S = f(u) + f(v) and D = \|f(u) − f(v)\| for every edge uv in E(G). Let f' be the induced edge labeling, induced by the vertex labeling f, defined as f' : E(G) → {0, 1} such that for any edge uv in E(G), f' (uv)=1 if gcd(S, D)=1, and f' (uv)=0 otherwise. Let e f' (0) and e f' (1) be the number of edges labeled with 0 and 1 respectively. f is SD-prime cordial labeling if \|e f' (0) − e f' (1)\| ≤ 1 and G is SD-prime cordial graph if it admits SD-prime cordial labeling. In this paper, we have discussed the SD-prime cordial labeling of alternate k-polygonal snake graphs of type-1, type-2 and type-3.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.3 20212021-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300619en10.22199/issn.0717-6279-4015
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	SD-prime cordial graph Triangular snake Alternate quadrilateral snake n-polygonal snake Alternate k-polygonal snake
spellingShingle	SD-prime cordial graph Triangular snake Alternate quadrilateral snake n-polygonal snake Alternate k-polygonal snake Prajapati,U. M. Vantiya,Anit SD-Prime cordial labeling of alternate k-polygonal snake of various types
description	Abstract: Let f : V (G) → {1, 2,..., \|V (G)\|} be a bijection, and let us denote S = f(u) + f(v) and D = \|f(u) − f(v)\| for every edge uv in E(G). Let f' be the induced edge labeling, induced by the vertex labeling f, defined as f' : E(G) → {0, 1} such that for any edge uv in E(G), f' (uv)=1 if gcd(S, D)=1, and f' (uv)=0 otherwise. Let e f' (0) and e f' (1) be the number of edges labeled with 0 and 1 respectively. f is SD-prime cordial labeling if \|e f' (0) − e f' (1)\| ≤ 1 and G is SD-prime cordial graph if it admits SD-prime cordial labeling. In this paper, we have discussed the SD-prime cordial labeling of alternate k-polygonal snake graphs of type-1, type-2 and type-3.
author	Prajapati,U. M. Vantiya,Anit
author_facet	Prajapati,U. M. Vantiya,Anit
author_sort	Prajapati,U. M.
title	SD-Prime cordial labeling of alternate k-polygonal snake of various types
title_short	SD-Prime cordial labeling of alternate k-polygonal snake of various types
title_full	SD-Prime cordial labeling of alternate k-polygonal snake of various types
title_fullStr	SD-Prime cordial labeling of alternate k-polygonal snake of various types
title_full_unstemmed	SD-Prime cordial labeling of alternate k-polygonal snake of various types
title_sort	sd-prime cordial labeling of alternate k-polygonal snake of various types
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300619
work_keys_str_mv	AT prajapatium sdprimecordiallabelingofalternatekpolygonalsnakeofvarioustypes AT vantiyaanit sdprimecordiallabelingofalternatekpolygonalsnakeofvarioustypes
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SD-Prime cordial labeling of alternate k-polygonal snake of various types

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