Tournaments and Semicomplete Digraphs

Jørgen Bang-Jensen, Frederic Havet

Publikation: Kapitel i bog/rapport/konference-proceedingKapitel i bogForskningpeer review

Abstrakt

The class of tournaments is by far the most well-studied class of digraphs with many deep and important results. Since Moon’s pioneering book in 1968 [146], the study of tournaments and their properties has flourished and research on tournaments is still a very active area. Often this research deals with the superclass of semicomplete digraphs which are digraphs with no pair of non-adjacent vertices (that is, contrary to tournaments, we allow directed cycles of length 2). In this chapter we cover a very broad range of results on tournaments and semicomplete digraphs from classical to very recent ones. In order to stimulate further research, we not only list a number of open problems, but also give a number of proofs which illustrate the diversity of proof techniques that have been applied. These range from elementary to quite advanced.
OriginalsprogEngelsk
TitelClasses of Directed Graphs
RedaktørerJørgen Bang-Jensen, Gregory Gutin
ForlagSpringer
Publikationsdato2018
Sider35-124
ISBN (Trykt)978-3-319-71839-2
ISBN (Elektronisk)978-3-319-71840-8
DOI
StatusUdgivet - 2018
NavnSpringer Monographs in Mathematics
ISSN1439-7382

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