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127
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STACS
2010
Springer
15 years 12 months ago
Large-Girth Roots of Graphs
We study the problem of recognizing graph powers and computing roots of graphs. We provide a polynomial time recognition algorithm for r-th powers of graphs of girth at least 2r + ...
Anna Adamaszek, Michal Adamaszek
155
Voted
JCT
2010
112views more  JCT 2010»
15 years 3 months ago
More on block intersection polynomials and new applications to graphs and block designs
The concept of intersection numbers of order r for t-designs is generalized to graphs and to block designs which are not necessarily t-designs. These intersection numbers satisfy ...
Leonard H. Soicher
DC
2010
15 years 5 months ago
An optimal maximal independent set algorithm for bounded-independence graphs
We present a novel distributed algorithm for the maximal independent set (MIS) problem.1 On bounded-independence graphs (BIG) our deterministic algorithm finishes in O(log n) time,...
Johannes Schneider, Roger Wattenhofer
164
Voted
COCOON
2007
Springer
15 years 11 months ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...
AUTOMATICA
2004
147views more  AUTOMATICA 2004»
15 years 4 months ago
Interval analysis and dioid: application to robust controller design for timed event graphs
This paper deals with feedback controller synthesis for timed event graphs in dioids, where the number of initial tokens and time delays are only known to belong to intervals. We ...
Mehdi Lhommeau, Laurent Hardouin, Bertrand Cottenc...