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COMBINATORICS
2000
75views more  COMBINATORICS 2000»
15 years 6 months ago
Franklin's Argument Proves an Identity of Zagier
Recently Zagier proved a remarkable q-series identity. We show that this identity can also be proved by modifying Franklin's classical proof of Euler's pentagonal number...
Robin J. Chapman
DT
2002
65views more  DT 2002»
15 years 6 months ago
Annual Index
nline search of authors and a broader subject search of abstracts of Young Children articles since 1985, volume 40, and of other articles published online since September 2002, vis...
COMBINATORICS
1998
77views more  COMBINATORICS 1998»
15 years 6 months ago
Permutations which are the Union of an Increasing and a Decreasing Subsequence
It is shown that there are 2n n − n−1 m=0 2n−m−1 2m m permutations which are the union of an increasing sequence and a decreasing sequence. 1991 Mathematics Subject Classi...
M. D. Atkinson
ITA
2002
105views Communications» more  ITA 2002»
15 years 6 months ago
Polypodic codes
Word and tree codes are studied in a common framework, that of polypodes which are sets endowed with a substitution like operation. Many examples are given and basic properties are...
Symeon Bozapalidis, Olympia Louscou-Bozapalidou
COMBINATORICS
1999
102views more  COMBINATORICS 1999»
15 years 6 months ago
Critical Subgraphs of a Random Graph
We prove that the threshold for a random graph to have a k-core is equal to the threshold for having a subgraph which meets a necessary condition of Gallai for being k-critical. 1...
Michael Molloy, Bruce A. Reed