SUBLINEAR LONGEST PATH TRANSVERSALS

被引：2

作者：

Long, James A. ^{[1
]}

Milans, Kevin G. ^{[1
]}

Munaro, Andrea ^{[2
]}

机构：

[1] West Virginia Univ, Dept Math, Morgantown, WV 26505 USA

[2] Queens Univ Belfast, Sch Math & Phys, Belfast BT7 1NN, Antrim, North Ireland

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 2021年 / 35卷 / 03期

关键词：

longest path; longest cycle; transversal; maximum subdivision;

D O I：

10.1137/20M1362577

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that connected graphs admit sublinear longest path transversals. This improves an earlier result of Rautenbach and Sereni and is related to the fifty-year-old question of whether connected graphs admit longest path transversals of constant size. The same technique allows us to show that 2-connected graphs admit sublinear longest cycle transversals.

引用

页码：1673 / 1677

页数：5

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