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Title: (1,k)-Choosability of Graphs with Edge Lists Containing Arithmetic Progressions
Authors: Tao, Andrew
Advisors: Liu, Chun-Hung
Contributors: Chudnovsky, Maria
Department: Mathematics
Class Year: 2017
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
Language: en_US
Appears in Collections:Mathematics, 1934-2020

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