Characterization of completely k-magic regular graphs

Let k ∈ N and c ∈ Zk. A graph G is said to be c-sum k-magic if there is a labeling ` : E(G) → Zk \ {0} such that P u∈N(v) `(uv) ≡ c (mod k) for every vertex v of G, where N(v) is the neighborhood of v in G. We say that G is completely k-magic whenever it is c-sum k-magic for every c ∈ Zk. In this pa...

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التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Eniego, Arnold A, Garces, Ian June L
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منشور في: Archīum Ateneo 2016
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الوصول للمادة أونلاين:https://archium.ateneo.edu/mathematics-faculty-pubs/54
https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1053&context=mathematics-faculty-pubs
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المؤسسة: Ateneo De Manila University
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spelling ph-ateneo-arc.mathematics-faculty-pubs-10532020-03-06T08:00:41Z Characterization of completely k-magic regular graphs Eniego, Arnold A Garces, Ian June L Let k ∈ N and c ∈ Zk. A graph G is said to be c-sum k-magic if there is a labeling ` : E(G) → Zk \ {0} such that P u∈N(v) `(uv) ≡ c (mod k) for every vertex v of G, where N(v) is the neighborhood of v in G. We say that G is completely k-magic whenever it is c-sum k-magic for every c ∈ Zk. In this paper, we characterize all completely k-magic regular graphs. 2016-01-01T08:00:00Z text application/pdf https://archium.ateneo.edu/mathematics-faculty-pubs/54 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1053&context=mathematics-faculty-pubs Mathematics Faculty Publications Archīum Ateneo Mathematics
institution Ateneo De Manila University
building Ateneo De Manila University Library
country Philippines
collection archium.Ateneo Institutional Repository
topic Mathematics
spellingShingle Mathematics
Eniego, Arnold A
Garces, Ian June L
Characterization of completely k-magic regular graphs
description Let k ∈ N and c ∈ Zk. A graph G is said to be c-sum k-magic if there is a labeling ` : E(G) → Zk \ {0} such that P u∈N(v) `(uv) ≡ c (mod k) for every vertex v of G, where N(v) is the neighborhood of v in G. We say that G is completely k-magic whenever it is c-sum k-magic for every c ∈ Zk. In this paper, we characterize all completely k-magic regular graphs.
format text
author Eniego, Arnold A
Garces, Ian June L
author_facet Eniego, Arnold A
Garces, Ian June L
author_sort Eniego, Arnold A
title Characterization of completely k-magic regular graphs
title_short Characterization of completely k-magic regular graphs
title_full Characterization of completely k-magic regular graphs
title_fullStr Characterization of completely k-magic regular graphs
title_full_unstemmed Characterization of completely k-magic regular graphs
title_sort characterization of completely k-magic regular graphs
publisher Archīum Ateneo
publishDate 2016
url https://archium.ateneo.edu/mathematics-faculty-pubs/54
https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1053&context=mathematics-faculty-pubs
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