Almost minimum diameter orientations of semicomplete multipartite and extended digraphs

被引：6

作者：

Gutin, G ^{[1
]}

Koh, KM

Tay, EG

Yeo, A

机构：

[1] Royal Holloway Univ London, Dept Comp Sci, Egham TW20 0EX, Surrey, England

[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[3] Nanyang Technol Univ, Math & Math Educ Grp, Singapore 259756, Singapore

来源：

GRAPHS AND COMBINATORICS | 2002年 / 18卷 / 03期

关键词：

D O I：

10.1007/s003730200036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An orientation of a digraph D is a spanning subdigraph of D obtained from D by deleting exactly one arc between x and y for every pair x not equal y of vertices Such that both xy and yx are in D. Almost minimum diameter orientations of certain semicomplete multipartite and extended digraphs are considered, several generalizations of results on orientations of undirected graphs are obtained, some conjectures are posed.

引用

下载

页码：499 / 506

页数：8

共 50 条

[41] Minimum orders of eulerian oriented digraphs with given diameter
Yoomi Rho
Byeong Moon Kim
Woonjae Hwang
Byung Chul Song
Acta Mathematica Sinica, English Series, 2014, 30 : 1125 - 1132
[42] A Sub-exponential FPT Algorithm and a Polynomial Kernel for Minimum Directed Bisection on Semicomplete Digraphs
Jayakrishnan Madathil
Roohani Sharma
Meirav Zehavi
Algorithmica, 2021, 83 : 1861 - 1884
[43] ORIENTATIONS OF THE N-CUBE WITH MINIMUM DIAMETER
MCCANNA, JE
DISCRETE MATHEMATICS, 1988, 68 (2-3) : 309 - 310
[44] Diameter of orientations of graphs with given minimum degree
Bau, Sheng
Dankelmann, Peter
EUROPEAN JOURNAL OF COMBINATORICS, 2015, 49 : 126 - 133
[45] c-Pancyclic Partial Ordering and (c–1)-Pan-Outpath Partial Ordering in Semicomplete Multipartite Digraphs
Lin Qiang Pan
Ke Min Zhang
Acta Mathematica Sinica, 2003, 19 : 829 - 832
[46] Finding cheapest cycles in vertex-weighted quasi-transitive and extended semicomplete digraphs
Bang-Jensen, Jorgen
Gutin, Gregory
Yeo, Anders
DISCRETE OPTIMIZATION, 2006, 3 (01) : 86 - 94
[47] c-pancyclic partial ordering and (c-1)-pan-outpath partial ordering in semicomplete multipartite digraphs
Pan, LQ
Zhang, KM
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2003, 19 (04) : 829 - 832
[48] A minimum semi-degree sufficient condition for one-to-many disjoint path covers in semicomplete digraphs
Ma, Ansong
Sun, Yuefang
Zhang, Xiaoyan
DISCRETE MATHEMATICS, 2023, 346 (08)
[49] Minimum diameter orientations for tree vertex-multiplication graphs
Shanxi Vocational Poly-Technique College, Taiyuan 030006, China
Zhongbei Daxue Xuebao (Ziran Kexue Ban), 2006, 2 (132-134):
[50] Using the minimum and maximum degrees to bound the diameter of orientations of bridgeless graphs
Zhang, Wan-Ping
Meng, Ji-Xiang
Wu, Baoyindureng
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2023,

← 1 2 3 4 5 →