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SCHOLARPEDIA
2008
79views more  SCHOLARPEDIA 2008»
13 years 4 months ago
Asymptotic cycles
We carry out a multifractal analysis for the asymptotic cycles for compact Riemann surfaces of genus g 2. This describes the set of unit tangent vectors for which the associated o...
Sol Schwartzman
IJBC
2010
84views more  IJBC 2010»
13 years 2 months ago
Asymptotic Values, Prepoles, and Periodic Points
Curves of parameter values for which an asymptotic value of F,(z) = 1 + e-z lies on a pre-pole of arbitrary order are found through an iterative method. Some of these curves are sh...
Jared Whitehead, Lennard Bakker
JCT
2010
158views more  JCT 2010»
13 years 3 months ago
An asymptotic solution to the cycle decomposition problem for complete graphs
Let m1, m2, . . . , mt be a list of integers. It is shown that there exists an integer N such that for all n ≥ N, the complete graph of order n can be decomposed into edge-disjo...
Darryn E. Bryant, Daniel Horsley
ARSCOM
2004
104views more  ARSCOM 2004»
13 years 4 months ago
Complete Minors in Cubic Graphs with few short Cycles and Random Cubic Graphs
We first prove that for any fixed k a cubic graph with few short cycles contains a Kk-minor. This is a direct generalisation of a result on girth by Thomassen. We then use this the...
Klas Markstrom
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 4 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...