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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Archīum Ateneo
2016
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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 |
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Ateneo De Manila University |
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Ateneo De Manila University Library |
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Philippines |
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archium.Ateneo Institutional Repository |
| topic |
Mathematics |
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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 |
| _version_ |
1681506544470982656 |