An edge-coloring of a simple graph \(G\) with colors \(1,2, \ldots, t\) is called an interval \(t\)-coloring [3] if at least one edge of \(G\) is colored by color \(i, i=1, \ldots, t\) and the edges incident with each vertex \(x\) are colored by \(d_{G}(x)\) consecutive colors, where \(d_{G}(x)\) is
On the two-edge-colorings of perfect graphs
✍ Scribed by Chính T. Hoàng
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 409 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0364-9024
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✦ Synopsis
Abstract
We investigate the conjecture that a graph is perfect if it admits a two‐edge‐coloring such that two edges receive different colors if they are the nonincident edges of a P~4~ (chordless path with four vertices). Partial results on this conjecture are given in this paper. © 1995 John Wiley & Sons, Inc.
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