Strong Subgraph Connectivity of Digraphs: A Survey

Author:

Sun Yuefang1ORCID,Gutin Gregory2

Affiliation:

1. School of Mathematics and Statistics, Ningbo University, Zhejiang 315211, P. R. China

2. School of Computer Science and Mathematics, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, UK

Abstract

In this survey we overview known results on the strong subgraph [Formula: see text]-connectivity and strong subgraph [Formula: see text]-arc-connectivity of digraphs. After an introductory section, the paper is divided into four sections: basic results, algorithms and complexity, sharp bounds for strong subgraph [Formula: see text]-(arc-)connectivity, minimally strong subgraph [Formula: see text]-(arc-) connected digraphs. This survey contains several conjectures and open problems for further study.

Funder

Zhejiang Provincial Natural Science Foundation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computer Networks and Communications

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