✦ LIBER ✦

Minimal rankings

✍ Scribed by Ghoshal, J.; Laskar, R.; Pillone, D.

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 711 KB
Volume: 28
Category: Article
ISSN: 0028-3045
DOI: 10.1002/(sici)1097-0037(199608)28:1<45::aid-net6>3.0.co;2-d

No coin nor oath required. For personal study only.

✦ Synopsis

A k-ranking, f , for a graph G is a function

= f ( u ) , then every uu path contains a vertex w such that f ( w ) > f ( u ) . In this paper, we define minimal rankings of graphs. Properties of minimal rankings are established and then used to determine x,, the minimum ranking number, and &, the maximum ranking number over all minimal rankings, for complete n-partite graphs and for split graphs.

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