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» The Graphs with All Subgraphs T-Perfect
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DM
2010
107views more  DM 2010»
13 years 7 months ago
Degree-associated reconstruction number of graphs
A card of a graph G is a subgraph formed by deleting one vertex. The Reconstruction Conjecture states that each graph with at least three vertices is determined by its multiset of...
Michael D. Barrus, Douglas B. West
DM
1998
62views more  DM 1998»
13 years 7 months ago
Bipartite subgraphs of integer weighted graphs
For every integer p > 0 let f(p) be the minimum possible value of the maximum weight of a cut in an integer weighted graph with total weight p. It is shown that for every large...
Noga Alon, Eran Halperin
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...
SIAMSC
2008
182views more  SIAMSC 2008»
13 years 7 months ago
A Distributed SDP Approach for Large-Scale Noisy Anchor-Free Graph Realization with Applications to Molecular Conformation
We propose a distributed algorithm for solving Euclidean metric realization problems arising from large 3D graphs, using only noisy distance information, and without any prior kno...
Pratik Biswas, Kim-Chuan Toh, Yinyu Ye
ISAAC
2007
Springer
111views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Problem Kernels for NP-Complete Edge Deletion Problems: Split and Related Graphs
In an edge deletion problem one is asked to delete at most k edges from a given graph such that the resulting graph satisfies a certain property. In this work, we study four NP-co...
Jiong Guo