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82
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DM
2006
101views more  DM 2006»
15 years 23 days ago
Collapsible biclaw-free graphs
A graph is called biclaw-free if it has no biclaw as an induced subgraph. In this note, we prove that if G is a connected bipartite biclaw-free graph with (G) 5, then G is collap...
Hong-Jian Lai, Xiangjuan Yao
84
Voted
IVC
2008
74views more  IVC 2008»
15 years 22 days ago
Digitization of non-regular shapes in arbitrary dimensions
The preservation of topological properties during digitization is a hard problem in 3 and higher dimensions. Only for the very restricted class of r-regular shapes it is known tha...
Peer Stelldinger, Kasim Terzic
120
Voted
JCT
2008
120views more  JCT 2008»
15 years 21 days ago
Approximate min-max theorems for Steiner rooted-orientations of graphs and hypergraphs
Given an undirected hypergraph and a subset of vertices S V with a specified root vertex r S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the hypered...
Tamás Király, Lap Chi Lau
94
Voted
DM
2007
97views more  DM 2007»
15 years 21 days ago
Recognizing Cartesian products in linear time
We present an algorithm that determines the prime factors of connected graphs with respect to the Cartesian product in linear time and space. This improves a result of Aurenhammee...
Wilfried Imrich, Iztok Peterin
104
Voted
DM
2007
101views more  DM 2007»
15 years 21 days ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans