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JCT
2010
75views more  JCT 2010»
13 years 6 months ago
Hamiltonian degree sequences in digraphs
We show that for each η > 0 every digraph G of sufficiently large order n is Hamiltonian if its out- and indegree sequences d+ 1 ≤ · · · ≤ d+ n and d− 1 ≤ · · · ...
Daniela Kühn, Deryk Osthus, Andrew Treglown
JCT
2010
85views more  JCT 2010»
13 years 6 months ago
On inequivalent representations of matroids over non-prime fields
Abstract. For each finite field F of prime order there is a constant c such that every 4-connected matroid has at most c inequivalent representations over F. We had hoped that th...
Jim Geelen, Bert Gerards, Geoff Whittle
JCT
2010
72views more  JCT 2010»
13 years 6 months ago
Extensions and restrictions of Wythoff's game preserving its p positions
We consider extensions and restrictions of Wythoff’s game having exactly the same set of P positions as the original game. No strict subset of rules give the same set of P posit...
Éric Duchêne, Aviezri S. Fraenkel, Ri...
JCT
2010
58views more  JCT 2010»
13 years 6 months ago
Map operations and k-orbit maps
A k-orbit map is a map with k flag-orbits under the action of its automorphism group. We give a basic theory of k-orbit maps and classify them up to k 4. “Hurwitz-like” upper...
Alen Orbanic, Daniel Pellicer, Asia Ivic Weiss
JCT
2010
144views more  JCT 2010»
13 years 6 months ago
Combinatorics of generalized q-Euler numbers
Abstract. New enumerating functions for the Euler numbers are considered. Several of the relevant generating functions appear in connection to entries in Ramanujan’s Lost Noteboo...
Tim Huber, Ae Ja Yee