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

共 50 条

[21] The longest path in the Price model
Evans, Tim S.
Calmon, Lucille
Vasiliauskaite, Vaiva
SCIENTIFIC REPORTS, 2020, 10 (01)
[22] Longest path starting at a vertex
Ji, Naidan
ARS COMBINATORIA, 2013, 108 : 457 - 464
[23] The probabilistic longest path problem
Murat, C
Paschos, VT
NETWORKS, 1999, 33 (03) : 207 - 219
[24] Disjoint Path Allocation with Sublinear Advice
Gebauer, Heidi
Komm, Dennis
Kralovic, Rastislav
Kralovic, Richard
Smula, Jasmin
COMPUTING AND COMBINATORICS, 2015, 9198 : 417 - 429
[25] The ratio of the longest cycle and longest path in semicomplete multipartite digraphs
Tewes, M
Volkmann, L
DISCRETE MATHEMATICS, 2001, 231 (1-3) : 453 - 457
[26] Constructing sublinear expectations on path space
Nutz, Marcel
van Handel, Ramon
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2013, 123 (08) : 3100 - 3121
[27] Longest Path Distance in Random Circuits
Broutin, Nicolas
Fawzi, Omar
COMBINATORICS PROBABILITY & COMPUTING, 2012, 21 (06): : 856 - 881
[28] Longest path problems on Ptolemaic graphs
Takahara, Yoshihiro
Teramoto, Sachio
Uehara, Ryuhei
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2008, E91D (02) : 170 - 177
[29] An Algebraic Approach to The Longest Path Problem
Al - Khazali, Omar
arXiv, 2023,
[30] An Algebraic Approach to the Longest Path Problem
Al-Khazali, Omar
SSRN,

← 1 2 3 4 5 →