Interval Edge-Colorings of Cartesian Products of Graphs I

@inproceedings{Khachatrian2013IntervalEO,
  title={Interval Edge-Colorings of Cartesian Products of Graphs I},
  author={Hrant Khachatrian and Petros A. Petrosyan and Hovhannes Tananyan},
  booktitle={Discuss. Math. Graph Theory},
  year={2013}
}
Abstract A proper edge-coloring of a graph G with colors 1, . . . , t is an interval t-coloring if all colors are used and the colors of edges incident to each vertex of G form an interval of integers. A graph G is interval colorable if it has an interval t-coloring for some positive integer t. Let be the set of all interval colorable graphs. For a graph G ∈ , the least and the greatest values of t for which G has an interval t-coloring are denoted by w(G) and W(G), respectively. In this paper… 
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