| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 418590 | Discrete Applied Mathematics | 2015 | 5 Pages |
Abstract
A facial edge kk-ranking of a plane graph GG is a labeling of its edges with integers 1,…,k1,…,k such that every facial trail connecting two edges with the same label contains an edge with a greater label. The smallest integer kk such that GG has a facial edge kk-ranking is denoted by χfr′(G). We prove that χfr′(G)=O(logΔ∗) for 3-edge-connected plane graphs, where Δ∗Δ∗ is the maximum face size of GG.
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Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Július Czap, Stanislav Jendrol’,