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ALGORITHMICA
2007
86views more  ALGORITHMICA 2007»
14 years 10 months ago
Detecting Holes and Antiholes in Graphs
In this paper we study the problems of detecting holes and antiholes in general undirected graphs, and we present algorithms for these problems. For an input graph G on n vertices ...
Stavros D. Nikolopoulos, Leonidas Palios
FCT
2005
Springer
15 years 3 months ago
Reconstructing Many Partitions Using Spectral Techniques
A partitioning of a set of n items is a grouping of these items into k disjoint, equally sized classes. Any partition can be modeled as a graph. The items become the vertices of th...
Joachim Giesen, Dieter Mitsche
ISAAC
2004
Springer
94views Algorithms» more  ISAAC 2004»
15 years 3 months ago
Error Compensation in Leaf Root Problems
The k-Leaf Root problem is a particular case of graph power problems. Here, we study “error correction” versions of k-Leaf Root—that is, for instance, adding or deleting at m...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
JCT
2006
73views more  JCT 2006»
14 years 9 months ago
Colouring lines in projective space
Let V be a vector space of dimension v over a field of order q. The q-Kneser graph has the kdimensional subspaces of V as its vertices, where two subspaces and are adjacent if and...
Ameera Chowdhury, Chris D. Godsil, Gordon F. Royle
JGT
2010
128views more  JGT 2010»
14 years 8 months ago
On antimagic directed graphs
An antimagic labeling of an undirected graph G with n vertices and m edges is a bijection from the set of edges of G to the integers {1, . . . , m} such that all n vertex sums are...
Dan Hefetz, Torsten Mütze, Justus Schwartz