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STACS
2001
Springer
14 years 2 months ago
Evasiveness of Subgraph Containment and Related Properties
We prove new results on evasiveness of monotone graph properties by extending the techniques of Kahn, Saks, and Sturtevant [Combinatorica, 4 (1984), pp. 297–306]. For the propert...
Amit Chakrabarti, Subhash Khot, Yaoyun Shi
CORR
2007
Springer
130views Education» more  CORR 2007»
13 years 9 months ago
On Computing the Distinguishing Numbers of Planar Graphs and Beyond: a Counting Approach
A vertex k-labeling of graph G is distinguishing if the only automorphism that preserves the labels of G is the identity map. The distinguishing number of G, D(G), is the smallest...
Vikraman Arvind, Christine T. Cheng, Nikhil R. Dev...
DAM
2010
132views more  DAM 2010»
13 years 9 months ago
Homomorphisms of 2-edge-colored graphs
In this paper, we study homomorphisms of 2-edge-colored graphs, that is graphs with edges colored with two colors. We consider various graph classes (outerplanar graphs, partial 2...
Amanda Montejano, Pascal Ochem, Alexandre Pinlou, ...
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 9 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
MOBICOM
2006
ACM
14 years 3 months ago
On delivery guarantees of face and combined greedy-face routing in ad hoc and sensor networks
It was recently reported that all known face and combined greedy-face routing variants cannot guarantee message delivery in arbitrary undirected planar graphs. The purpose of this...
Hannes Frey, Ivan Stojmenovic