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» Bipartite Permutation Graphs Are Reconstructible
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TCS
2011
12 years 12 months ago
Computing minimum distortion embeddings into a path for bipartite permutation graphs and threshold graphs
The problem of computing minimum distortion embeddings of a given graph into a line (path) was introduced in 2004 and has quickly attracted significant attention with subsequent ...
Pinar Heggernes, Daniel Meister, Andrzej Proskurow...
DAM
2010
107views more  DAM 2010»
13 years 5 months ago
Codes from lattice and related graphs, and permutation decoding
Codes of length n2 and dimension 2n - 1 or 2n - 2 over the field Fp, for any prime p, that can be obtained from designs associated with the complete bipartite graph Kn,n and its l...
Jennifer D. Key, Bernardo Gabriel Rodrigues
APPML
2008
159views more  APPML 2008»
13 years 5 months ago
The rook problem on saw-toothed chessboards
A saw-toothed chessboard, or STC for short, is a kind of chessboard whose boundary forms two staircases from left down to right without any hole inside it. A rook at square (i, j)...
Hon-Chan Chen, Ting-Yem Ho
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 5 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
SIAMDM
2010
89views more  SIAMDM 2010»
12 years 11 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang