The hull number of an oriented graph

Author:

Chartrand Gary1,Fink John Frederick2,Zhang Ping1

Affiliation:

1. Department of Mathematics, Western Michigan University, Kalamazoo, MI 49008, USA

2. Department of Mathematics, The University of Michigan-Dearborn, Dearborn, MI 48128-1491, USA

Abstract

We present characterizations of connected graphsGof ordern2for whichh+(G)=n. It is shown that for every two integersnandmwith1n1m(n2), there exists a connected graphGof ordernand sizemsuch that for each integerkwith2kn, there exists an orientation ofGwith hull numberG.

Funder

Western Michigan University

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 18 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hull and geodetic numbers for some classes of oriented graphs;Discrete Applied Mathematics;2021-05

2. Hull and Geodetic Numbers for Some Classes of Oriented Graphs;Electronic Notes in Theoretical Computer Science;2019-08

3. Polynomial Time Algorithms for Computing a Minimum Hull Set in Distance-Hereditary and Chordal Graphs;SIAM Journal on Discrete Mathematics;2016-01

4. On the hull number of some graph classes;Theoretical Computer Science;2013-03

5. Computational Complexity;Geodesic Convexity in Graphs;2013

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