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» The chromatic covering number of a graph
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LATIN
2010
Springer
14 years 2 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
14 years 7 months 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
12 years 10 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
14 years 1 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»
12 years 7 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