Name
Abstract | ||
|---|---|---|
For a simple graph G = (V, E) this paper deals with the existence of an edge labeling phi : E(G) -> {0, 1, . . . , k -1}, 2 <= k <= vertical bar E(G)vertical bar, which induces a vertex labeling phi : V (G) -> {0, 1, . . . , k - 1} in such a way that for each vertex v, assigns the label phi(e(1)) . phi(e(2)) . . . . . phi(e(n)) (mod k), where e(1), e(2), . . . , e(n) are the edges incident to the vertex v. The labeling phi is called a k-total edge product cordial labeling of G if vertical bar(e(phi)(i) + v(phi)*(i)) - (e(phi)'(j) + v(phi)(j))j <= 1 for every i, j, 0 <= i < j <= k - 1, where e(phi)(i) and v'(phi)(i) is the number of edges and vertices with phi(e) = i and phi(v) = i, respectively. The paper examines the existence of such labelings for toroidal fullerenes and for Klein-bottle fullerenes. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.5614/ejgta.2018.6.2.4 | ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS |
Keywords | DocType | Volume |
cordial labeling, k-total edge product cordial labeling, toroidal fullerenes, Klein-bottle fullerenes | Journal | 6 |
Issue | ISSN | Citations |
2 | 2338-2287 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Martin Baca | 1 | 4 | 2.58 |
| Muhammad-Naeem Irfan | 2 | 68 | 29.98 |
| Aisha Javed | 3 | 0 | 0.68 |
| Andrea Semanicová-Fenovcíková | 4 | 11 | 8.68 |