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OPTIMAL REAL NUMBER GRAPH LABELLINGS OF A SUBFAMILY OF KNESER GRAPHS

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ERMAN R Jurecic S STOPAR N  KRÁĽ Daniel

Rok publikování 2009
Druh Článek v odborném periodiku
Časopis / Zdroj SIAM Journal on Discrete Mathematics
Citace
Doi http://dx.doi.org/10.1137/060672923
Klíčová slova real number graph labelling; channel assignment problem; graph labelling with distance conditions; Kneser graphs
Popis A notion of real number graph labellings captures the dependence of the span of an optimal channel assignment on the separations that are required between frequencies assigned to close transmitters. We determine the spans of such optimal labellings for a subfamily of Kneser graphs formed by the complements of the line graphs of complete graphs. This subfamily contains (among others) the Petersen graph.

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