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FFA
2008
53views more  FFA 2008»
15 years 6 months ago
Bilinear character sums over elliptic curves
Let k be a finite field with q elements. Let kn be the extension of k with degree n. Let Nn be the kernel of the norm map Nkn/k : k
Igor Shparlinski
DM
2006
81views more  DM 2006»
15 years 6 months ago
A combinatorial identity with application to Catalan numbers
By a very simple argument, we prove that if l, m, n {0, 1, 2, . . . } then l k=0 (-1)m-k l k m - k n 2k k - 2l + m = l k=0 l k 2k n n - l m + n - 3k - l . On the basis of this ide...
Hao Pan, Zhi-Wei Sun
EJC
2006
15 years 6 months ago
Hamilton cycles in random lifts of graphs
An n-lift of a graph K, is a graph with vertex set V (K)
K. Burgin, Prasad Chebolu, Colin Cooper, Alan M. F...
ENDM
2007
96views more  ENDM 2007»
15 years 6 months ago
Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples
For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainb...
Jacob Fox, Veselin Jungic, Rados Radoicic
JGT
2007
73views more  JGT 2007»
15 years 6 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen