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ICALP
2009
Springer
14 years 10 months ago
Tight Bounds for the Cover Time of Multiple Random Walks
We study the cover time of multiple random walks. Given a graph G of n vertices, assume that k independent random walks start from the same vertex. The parameter of interest is the...
Robert Elsässer, Thomas Sauerwald
COMGEO
2010
ACM
13 years 10 months ago
Mixed volume techniques for embeddings of Laman graphs
We use Bernstein's Theorem [1] to obtain combinatorial bounds for the number of embeddings of Laman graph frameworks modulo rigid motions. For this, we study the mixed volume...
Reinhard Steffens, Thorsten Theobald
DM
2008
119views more  DM 2008»
13 years 9 months ago
A generalised upper bound for the k-tuple domination number
In this paper, we provide an upper bound for the k-tuple domination number that generalises known upper bounds for the double and triple domination numbers. We prove that for any ...
Andrei Gagarin, Vadim E. Zverovich
MOBICOM
2012
ACM
12 years 6 days ago
Temporal reachability graphs
While a natural fit for modeling and understanding mobile networks, time-varying graphs remain poorly understood. Indeed, many of the usual concepts of static graphs have no obvi...
John Whitbeck, Marcelo Dias de Amorim, Vania Conan...
JGT
2007
85views more  JGT 2007»
13 years 9 months ago
On self duality of pathwidth in polyhedral graph embeddings
: Let G be a 3-connected planar graph and G∗ be its dual. We show that the pathwidth of G∗ is at most 6 times the pathwidth of G. We prove this result by relating the pathwidth...
Fedor V. Fomin, Dimitrios M. Thilikos