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» On the Grundy Number of a Graph
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RSA
2011
92views more  RSA 2011»
13 years 5 months ago
Highly nonrepetitive sequences: Winning strategies from the local lemma
We prove game-theoretic versions of several classical results on nonrepetitive sequences, showing the existence of winning strategies using an extension of the Local Lemma which c...
Wesley Pegden
IWOCA
2010
Springer
240views Algorithms» more  IWOCA 2010»
13 years 5 months ago
Path-Based Supports for Hypergraphs
A path-based support of a hypergraph H is a graph with the same vertex set as H in which each hyperedge induces a Hamiltonian subgraph. While it is NP-complete to compute a path-ba...
Ulrik Brandes, Sabine Cornelsen, Barbara Pampel, A...
SIAMDM
2010
167views more  SIAMDM 2010»
13 years 5 months ago
Domination Game and an Imagination Strategy
The domination game played on a graph G consists of two players, Dominator and Staller who alternate taking turns choosing a vertex from G such that whenever a vertex is chosen by...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
12 years 19 days ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
APVIS
2008
13 years 11 months ago
Crossing Minimization meets Simultaneous Drawing
We define the concept of crossing numbers for simultaneous graphs by extending the crossing number problem of traditional graphs. We discuss differences to the traditional crossin...
Markus Chimani, Michael Jünger, Michael Schul...