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» Powers of cycles, powers of paths, and distance graphs
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CCCG
2008
13 years 9 months ago
Computing the Stretch Factor of Paths, Trees, and Cycles in Weighted Fixed Orientation Metrics
Let G be a graph embedded in the L1-plane. The stretch factor of G is the maximum over all pairs of distinct vertices p and q of G of the ratio LG 1 (p, q)/L1(p, q), where LG 1 (p...
Christian Wulff-Nilsen
COMBINATORICS
2007
87views more  COMBINATORICS 2007»
13 years 7 months ago
A Bijection on Dyck Paths and its Cycle Structure
The known bijections on Dyck paths are either involutions or have notoriously intractable cycle structure. Here we present a size-preserving bijection on Dyck paths whose cycle st...
David Callan
ALGORITHMICA
2006
100views more  ALGORITHMICA 2006»
13 years 7 months ago
Error Compensation in Leaf Power Problems
The k-Leaf Power recognition problem is a particular case of graph power problems: For a given graph it asks whether there exists an unrooted tree--the k-leaf root--with leaves on...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
CORR
2008
Springer
119views Education» more  CORR 2008»
13 years 7 months ago
On the Relationship between Transmission Power and Capacity of an Underwater Acoustic Communication Channel
The underwater acoustic channel is characterized by a path loss that depends not only on the transmission distance, but also on the signal frequency. As a consequence, transmission...
Daniel Enrique Lucani, Milica Stojanovic, Muriel M...
COMBINATORICA
2011
12 years 7 months ago
A local criterion for Tverberg graphs
The topological Tverberg theorem states that for any prime power q and continuous map from a (d + 1)(q − 1)-simplex to Rd , there are q disjoint faces Fi of the simplex whose im...
Alexander Engström