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» Duality in Infinite Graphs
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COMBINATORICS
2006
105views more  COMBINATORICS 2006»
13 years 7 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»
13 years 7 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»
13 years 7 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
CSR
2009
Springer
13 years 11 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»
13 years 2 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