Pattern avoiding permutations and independent sets in graphs

被引：0
|
作者：
Bean, Christian [1 ]
Tannock, Murray [1 ]
Ulfarsson, Henning [1 ]
机构：
[1] Reykjavik Univ, Dept Comp Sci, Reykjavik, Iceland
来源：
JOURNAL OF COMBINATORICS | 2020年 / 11卷 / 04期
关键词：
Permutation patterns; non-crossing subgraphs; independent sets;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new method for encoding permutations as weighted independent sets in a family of graphs we call cores. The encoding allows us to enumerate (1324, 2143)-, (1234, 1324, 2143)-, (1234, 1324, 1432, 3214)-avoiding permutations with respect to their number of "boundary points" and the size of the independent set in the graph they correspond to.
引用
收藏
页码：705 / 732
页数：28
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