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COMBINATORICS
2004
93views more  COMBINATORICS 2004»
14 years 9 months ago
Degree Powers in Graphs with Forbidden Subgraphs
For every real p > 0 and simple graph G, set f (p, G) = uV (G) dp (u) , and let (r, p, n) be the maximum of f (p, G) taken over all Kr+1-free graphs G of order n. We prove tha...
Béla Bollobás, Vladimir Nikiforov
COMBINATORICS
2004
84views more  COMBINATORICS 2004»
14 years 9 months ago
Planar Maps as Labeled Mobiles
We extend Schaeffer's bijection between rooted quadrangulations and welllabeled trees to the general case of Eulerian planar maps with prescribed face valences to obtain a bi...
J. Bouttier, P. Di Francesco, E. Guitter
COMBINATORICS
2004
54views more  COMBINATORICS 2004»
14 years 9 months ago
When Can You Tile a Box With Translates of Two Given Rectangular Bricks?
When can a d-dimensional rectangular box R be tiled by translates of two given d-dimensional rectangular bricks B1 and B2? We prove that R can be tiled by translates of B1 and B2 ...
Richard J. Bower, T. S. Michael
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COMBINATORICS
2004
61views more  COMBINATORICS 2004»
14 years 9 months ago
Improved Bounds on the Length of Maximal Abelian Square-free Words
A word is abelian square-free if it does not contain two adjacent subwords which are permutations of each other. Over an alphabet k on k letters, an abelian squarefree word is max...
Evan M. Bullock
COMBINATORICS
2004
110views more  COMBINATORICS 2004»
14 years 9 months ago
Flag Vectors of Multiplicial Polytopes
Bisztriczky introduced the multiplex as a generalization of the simplex. A polytope is multiplicial if all its faces are multiplexes. In this paper it is proved that the flag vect...
Margaret M. Bayer