A Note on the Total Detection Numbers of Cycles

Henry E. Escuadro; Futaba Fujie; Chad E. Musick

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On some Ramsey and Turán-type numbers for paths and cycles.

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Partitioning 3-colored complete graphs into three monochromatic cycles.

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New lower bound for multicolor Ramsey numbers for even cycles.

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Adjacent vertex distinguishing edge colorings of the direct product of a regular graph by a path or a cycle

Laura Frigerio, Federico Lastaria, Norma Zagaglia Salvi (2011)

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In this paper we investigate the minimum number of colors required for a proper edge coloring of a finite, undirected, regular graph G in which no two adjacent vertices are incident to edges colored with the same set of colors. In particular, we study this parameter in relation to the direct product of G by a path or a cycle.