Covering 2‐colored complete digraphs by monochromatic d $d$‐dominating digraphs
- Award ID(s):
- 1954170
- PAR ID:
- 10335791
- Date Published:
- Journal Name:
- Journal of Graph Theory
- Volume:
- 100
- Issue:
- 4
- ISSN:
- 0364-9024
- Page Range / eLocation ID:
- 721 to 726
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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We study two biased Maker-Breaker games played on the complete digraph $$\vec{K}_n$$. In the strong connectivity game, Maker wants to build a strongly connected subgraph. We determine the asymptotic optimal bias for this game viz. $$\frac{n}{\log n}$$. In the Hamiltonian game, Maker wants to build a Hamiltonian subgraph. We determine the asymptotic optimal bias for this game up to a constant factor.more » « less
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