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CORR
2010
Springer
134views Education» more  CORR 2010»
14 years 8 months ago
Locally identifying coloring of graphs
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
Louis Esperet, Sylvain Gravier, Mickaël Monta...
SIAMJO
2010
79views more  SIAMJO 2010»
14 years 8 months ago
Theta Bodies for Polynomial Ideals
Inspired by a question of Lov´asz, we introduce a hierarchy of nested semidefinite relaxations of the convex hull of real solutions to an arbitrary polynomial ideal, called theta...
João Gouveia, Pablo A. Parrilo, Rekha R. Th...
GC
2010
Springer
14 years 8 months ago
Degree Bounded Spanning Trees
In this paper, we give a sufficient condition for a graph to have a degree bounded spanning tree. Let n ≥ 1, k ≥ 3, c ≥ 0 and G be an n-connected graph. Suppose that for eve...
Jun Fujisawa, Hajime Matsumura, Tomoki Yamashita
ICALP
2010
Springer
14 years 11 months ago
Sparse Reliable Graph Backbones
Given a connected graph G and a failure probability pe for each edge e in G, the reliability of G is the probability that G remains connected when each edge e is removed independe...
Shiri Chechik, Yuval Emek, Boaz Patt-Shamir, David...
SIROCCO
2008
14 years 11 months ago
Centralized Communication in Radio Networks with Strong Interference
We study communication in known topology radio networks with the presence of interference constraints. We consider a real-world situation, when a transmission of a node produces an...
Frantisek Galcík