论文标题
使用奇偶校验概念或两倍图来描述可实现的高斯图
Describing realizable Gauss diagrams using the concepts of parity or bipartate graphs
论文作者
论文摘要
最近的两个出版物使用条件描述了可实现的高斯图，表明某些和弦中的和弦数量甚至是奇数。我们证明，通过查找多个反例，这些描述是不正确的。但是，对可实现的高斯图的基于平价的描述的想法很有吸引力。我们记得，高斯图作为触摸曲线的可实现性可以通过两分图描述。我们表明，可以通过两部分图来描述可实现的高斯图。
Two recent publications describe realizable Gauss diagrams using conditions stating that the number of chords in certain sets of chords is even or odd. We demonstrate that these descriptions are incorrect by finding multiple counter-examples. However, the idea of having a parity-based description of realizable Gauss diagrams is attractive. We recall that realizability of Gauss diagrams as touch curves can be described via bipartite graphs. We show that realizable Gauss diagrams can be described via bipartite graphs.
