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Three edges e1, e2 and e3 in a graph G are consecutive if they form a path (in this order) or a cycle of length 3. The injective edge coloring number χi′(G) is the minimum number of colors permitted in a coloring of the edges of G such that if e1, e2 and e3 are consecutive edges in G, then e1 and e3 receive the different colors. Let ω′ denote the number of edges in a maximum clique of G. A graph G...
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