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National Repository of Grey Literature 1 records found  Search took 0.00 seconds. 
Game variants of graph labeling
 Jedličková, Nikola ; Šámal, Robert (advisor) ; Fiala, Jiří (referee)
A graph labeling on a graph G is a mapping from the vertex set or the edge set to a set of labels L ⊆ N ∪ {0}. We will survey the existing results on graph labeling games. We also introduce a new type of labeling - ESD labeling and its game variant which was inspired by Tuza. An ESD labeling on a graph G is an injective mapping φ : V (G) → {1, . . . , n} such that for every two edges, the sum of the the labels on their endpoints is different. Apart from the question of existence of such labeling, we will examine game variant in which two players gradually build an ESD labeling. 1
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