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» On the Chromatic Number of Random Graphs
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CORR
2010
Springer
162views Education» more  CORR 2010»
14 years 8 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
CORR
2007
Springer
121views Education» more  CORR 2007»
14 years 11 months ago
On the Minimum Number of Transmissions in Single-Hop Wireless Coding Networks
— The advent of network coding presents promising opportunities in many areas of communication and networking. It has been recently shown that network coding technique can signi...
Salim Y. El Rouayheb, Mohammad Asad R. Chaudhry, A...
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
15 years 3 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali
MST
2011
209views Hardware» more  MST 2011»
14 years 6 months ago
Spreading of Messages in Random Graphs
Chang and Lyuu [Chang and Lyuu, 2008] study the spreading of a message in an Erd˝os-R´enyi random graph G(n, p) starting from a set of vertices that are convinced of the message...
Ching-Lueh Chang, Yuh-Dauh Lyuu
COCOON
2003
Springer
15 years 5 months ago
Graph Coloring and the Immersion Order
The relationship between graph coloring and the immersion order is considered. Vertex connectivity, edge connectivity and related issues are explored. These lead to the conjecture...
Faisal N. Abu-Khzam, Michael A. Langston