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math.CO2024
Repeatedly applying the Combinatorial Nullstellensatz for Zero-sum Grids to Martin Gardner's minimum no-3-in-a-line problem
Seunghwan Oh, John R. Schmitt, Xianzhi Wang
In 1976 Martin Gardner posed the following problem: ``What is the smallest number of [queens] you can put on an [ chessboard] such that no [queen] can be added without…
math.CO2022★ 1 cited
Extremal planar graphs with no cycles of particular lengths
Ervin Győri, Xianzhi Wang, Zeyu Zheng
In this paper we estimate the planar Turán number of some graphs , i.e., the maximum number of edges in a planar graph of vertices not con…