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» On Lengths of Rainbow Cycles
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COMBINATORICS
2006
128views more  COMBINATORICS 2006»
13 years 4 months ago
On Lengths of Rainbow Cycles
We prove several results regarding edge-colored complete graphs and rainbow cycles, cycles with no color appearing on more than one edge. We settle a question posed by Ball, Pultr...
Boris Alexeev
GC
2010
Springer
13 years 2 months ago
Cycle Lengths in Hamiltonian Graphs with a Pair of Vertices Having Large Degree Sum
A graph of order n is said to be pancyclic if it contains cycles of all lengths from three to n. Let G be a hamiltonian graph and let x and y be vertices of G that are consecutive ...
Michael Ferrara, Michael S. Jacobson, Angela Harri...
DM
2010
103views more  DM 2010»
13 years 4 months ago
Rainbow paths
A k-rainbow path in a graph with colored edges is a path of length k where each edge has a different color. In this note, we settle the problem of obtaining a constructive k-colori...
Domingos Dellamonica Jr., Colton Magnant, Daniel M...
COMGEO
2012
ACM
12 years 17 days ago
Algorithms for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
Sergio Cabello, Éric Colin de Verdiè...
TIT
2008
112views more  TIT 2008»
13 years 4 months ago
Rainbow Network Flow of Multiple Description Codes
This paper is an enquiry into the interaction between multiple description coding (MDC) and network routing. We are mainly concerned with rate-distortion optimized network flow of...
Xiaolin Wu, Bin Ma, Nima Sarshar