On k-cordial labelling
Youssef, Maged Z.;
Abstract
In this paper we give some necessary conditions for a graph to
be k-cordial for certain k. We also give some new families of 4-cordial
graphs.
be k-cordial for certain k. We also give some new families of 4-cordial
graphs.
Hovey [Discrete Math. 93 (1991), 183–194] introduced simultaneous gen eralizations of harmonious and cordial labellings. He defines a graph G of
vertex set V (G) and edge set E(G) to be k-cordial if there is a vertex la belling f from V (G) to Zk, the group of integers modulo k, so that when
each edge xy is assigned the label (f(x) + f(y)) (mod k), the number of
vertices (respectively, edges) labelled with i and the number of vertices
(respectively, edges) labelled with j differ by at most one for all i and
j in Zk. In this paper we give some necessary conditions for a graph to
be k-cordial for certain k. We also give some new families of 4-cordial
graphs.
vertex set V (G) and edge set E(G) to be k-cordial if there is a vertex la belling f from V (G) to Zk, the group of integers modulo k, so that when
each edge xy is assigned the label (f(x) + f(y)) (mod k), the number of
vertices (respectively, edges) labelled with i and the number of vertices
(respectively, edges) labelled with j differ by at most one for all i and
j in Zk. In this paper we give some necessary conditions for a graph to
be k-cordial for certain k. We also give some new families of 4-cordial
graphs.
Other data
| Title | On k-cordial labelling | Authors | Youssef, Maged Z. | Keywords | Harmonious graphs, k-cordial graphs, graceful graphs | Issue Date | 1-Feb-2009 | Publisher | AUSTRALASIAN JOURNAL OF COMBINATORICS | Journal | AUSTRALASIAN JOURNAL OF COMBINATORICS | Volume | 43 | Start page | 31 | End page | 37 |
Attached Files
| File | Description | Size | Format | Existing users please Login |
|---|---|---|---|---|
| 2009 Austral. J. Combin. k-cordial.pdf | 96.41 kB | Adobe PDF | Request a copy | |
| 2009 Austral. J. Combin. k-cordial.pdf | 96.41 kB | Unknown | Request a copy | |
| 2009 Austral. J. Combin. k-cordial.pdf | 96.41 kB | Unknown | Request a copy | |
| AJC_2009.pdf | 106.78 kB | Unknown | Request a copy |
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