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|Title:||(1,k)-Choosability of Graphs with Edge Lists Containing Arithmetic Progressions|
|Abstract:||In this paper, we give a strengthening of the 1-2-3 conjecture by restricting all edge lists to be arithmetic progressions. We consider list assignments that take every vertex to a single integer and every edge to an arithmetic progression of integers. We prove that for every graph G with such a list assignment and edge lists have length at least 30(3^(2c(G))), then there exists a proper L-total weighting of G.|
|Type of Material:||Princeton University Senior Theses|
|Appears in Collections:||Mathematics, 1934-2020|
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