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GD
1999
Springer
15 years 2 months ago
Visibility Representations of Complete Graphs
Abstract. In this paper we study 3-dimensional visibility representations of complete graphs. The vertices are represented by equal regular polygons lying in planes parallel to the...
Robert Babilon, Helena Nyklová, Ondrej Pang...
ISCAPDCS
2007
14 years 11 months ago
A Node-to-set cluster-fault-tolerant disjoint routing algorithm in pancake graphs
With rapid increase of parallel computation systems in their sizes, it is inevitable to develop algorithms that are applicable even if there exist faulty elements in the systems. ...
Tatsuro Watanabe, Keiichi Kaneko, Shietung Peng
COMBINATORICS
2002
88views more  COMBINATORICS 2002»
14 years 9 months ago
Graph Color Extensions: When Hadwiger's Conjecture and Embeddings Help
Suppose G is r-colorable and P V (G) is such that the components of G[P] are far apart. We show that any (r + s)-coloring of G[P] in which each component is s-colored extends to ...
Michael O. Albertson, Joan P. Hutchinson
CIAC
2010
Springer
376views Algorithms» more  CIAC 2010»
15 years 7 months ago
Kernelization for Maximum Leaf Spanning Tree with Positive Vertex Weights
In this paper we consider a natural generalization of the well-known Max Leaf Spanning Tree problem. In the generalized Weighted Max Leaf problem we get as input an undirected co...
Bart Jansen
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
14 years 10 months ago
Permutation Reconstruction from Minors
We consider the problem of permutation reconstruction, which is a variant of graph reconstruction. Given a permutation p of length n, we delete k of its entries in each possible w...
Mariana Raykova