科研之友
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摘要
Two vertices of the k-dimensional hypercube Q(k) are antipodal if they differ in every coordinate. Edges uv and xy are antipodal if u is antipodal to x and v is antipodal to y. An antipodal edge-coloring of Q(k) is a 2-edge-coloring such that antipodal edges always have different colors. Norine conjectured that for k >= 2, in every antipodal edge-coloring of Q(k) some two antipodal vertices are connected by a monochromatic path. Feder and Subi proved this for k <= 5. We prove it for k <= 6.
- 出版日期2019
- 单位浙江师范大学
