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» Duality in Infinite Graphs
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COMBINATORICS
2006
105views more  COMBINATORICS 2006»
14 years 9 months ago
Edge-Magic Group Labellings of Countable Graphs
We investigate the existence of edge-magic labellings of countably infinite graphs by abelian groups. We show for that for a large class of abelian groups, including the integers ...
Nicholas J. Cavenagh, Diana Combe, Adrian M. Nelso...
COMBINATORICS
2002
83views more  COMBINATORICS 2002»
14 years 9 months ago
Identifying Codes with Small Radius in Some Infinite Regular Graphs
Let G = (V, E) be a connected undirected graph and S a subset of vertices. If for all vertices v V , the sets Br(v) S are all nonempty and different, where Br(v) denotes the set...
Irène Charon, Olivier Hudry, Antoine Lobste...
TIT
2008
127views more  TIT 2008»
14 years 9 months ago
Max-Product for Maximum Weight Matching: Convergence, Correctness, and LP Duality
Abstract--Max-product "belief propagation" (BP) is an iterative, message-passing algorithm for finding the maximum a posteriori (MAP) assignment of a discrete probability...
Mohsen Bayati, Devavrat Shah, Mayank Sharma
86
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CSR
2009
Springer
15 years 1 months ago
The Reachability Problem over Infinite Graphs
Abstract. We survey classical and selected recent work on the reachability problem over finitely presented infinite graphs. The problem has a history of 100 years, and it is centra...
Wolfgang Thomas
SIAMDM
2010
109views more  SIAMDM 2010»
14 years 4 months ago
Ends and Vertices of Small Degree in Infinite Minimally k-(Edge)-Connected Graphs
Bounds on the minimum degree and on the number of vertices attaining it have been much studied for finite edge-/vertex-minimally kconnected/k-edge-connected graphs. We give an ove...
Maya Stein