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» Hamilton Cycles in Planar Locally Finite Graphs
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DM
2008
86views more  DM 2008»
13 years 7 months ago
Hamiltonian properties of triangular grid graphs
A triangular grid graph is a finite induced subgraph of the infinite graph associated with the two-dimensional triangular grid. In 2000, Reay and Zamfirescu showed that all 2-conne...
Valery S. Gordon, Yury L. Orlovich, Frank Werner
CSL
2007
Springer
14 years 1 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby
ENDM
2007
73views more  ENDM 2007»
13 years 7 months ago
Two New Classes of Hamiltonian Graphs: (Extended Abstract)
d Abstract) Esther M. Arkin 1 Applied Mathematics and Statistics Stony Brook University Stony Brook, USA Joseph S. B. Mitchell 2 Applied Mathematics and Statistics Stony Brook Univ...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
COMBINATORICS
2002
87views more  COMBINATORICS 2002»
13 years 7 months ago
Map Genus, Forbidden Maps, and Monadic Second-Order Logic
A map is a graph equipped with a circular order of edges around each vertex. These circular orders represent local planar embeddings. The genus of a map is the minimal genus of an...
Bruno Courcelle, V. Dussaux
ANTSW
2010
Springer
13 years 5 months ago
Autonomous Multi-agent Cycle Based Patrolling
We introduce a novel multi-agent patrolling strategy. By assumption, the swarm of agents performing the task consists of very low capability ant-like agents. The agents have littl...
Yotam Elor, Alfred M. Bruckstein