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» The chromatic covering number of a graph
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LATIN
2010
Springer
15 years 6 months ago
Some Observations on Holographic Algorithms
Abstract. We define the notion of diversity for families of finite functions, and express the limitations of a simple class of holographic algorithms in terms of limitations on d...
Leslie G. Valiant
ICALP
2009
Springer
16 years 2 days ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh
PODC
2011
ACM
14 years 2 months ago
Locally checkable proofs
This work studies decision problems from the perspective of nondeterministic distributed algorithms. For a yes-instance there must exist a proof that can be verified with a distri...
Mika Göös, Jukka Suomela
PODC
2006
ACM
15 years 5 months ago
On the complexity of distributed graph coloring
Coloring the nodes of a graph with a small number of colors is one of the most fundamental problems in theoretical computer science. In this paper, we study graph coloring in a di...
Fabian Kuhn, Roger Wattenhofer
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
13 years 11 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge