Geodesic
On Edge-colorability of Products of Graphs
Publications de l'Institut Mathématique, _N_S_36 (1984) no. 50, p. 13 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $\chi'(G)$ denote the edge-chromatic number and $\Delta(G)$ the maximum vertex degree of a graph $G$. A graph $G$ is said to be {\it of class} 1 if $\chi'(G)=\Delta(G)$ and {\it of class} 2 otherwise. Some sufficient conditions for various graph products (the Cartesian, lexicographic, tensor and strong product) to be of class 1 are given.
Classification : 05C15 05C70
Keywords: Edge-coloring, Graph products 
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     author = {Bojan Mohar},
     title = {On {Edge-colorability} of {Products} of {Graphs}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {13 },
     publisher = {mathdoc},
     volume = {_N_S_36},
     number = {50},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1984_N_S_36_50_a2/}
}
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Bojan Mohar. On Edge-colorability of Products of Graphs. Publications de l'Institut Mathématique, _N_S_36 (1984) no. 50, p. 13 . http://geodesic.mathdoc.fr/item/PIM_1984_N_S_36_50_a2/