We show that if a 2-edge connected graph G has a unique f-factor F, then some vertex has the same degree in F as in G. This conclusion is the best possible, even if the hypothesis is considerably strengthened. 1. All graphs considered are finite but may contain loops and multiple edges. Let G be a
A note concerning asymmetric games on graphs
β Scribed by Alvin E. Roth
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 195 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We consider a class of asymmetric twoβperson games played on graphs, and characterize all the positions in the game.
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