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COMBINATORICS
1999
73views more  COMBINATORICS 1999»
15 years 7 days ago
A [k, k+1]-Factor Containing A Given Hamiltonian Cycle
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k - 16 for even n and n 6k-13 for odd n...
Mao-cheng Cai, Yanjun Li, Mikio Kano
59
Voted
COMBINATORICS
1999
61views more  COMBINATORICS 1999»
15 years 7 days ago
A Fibonacci-like Sequence of Composite Numbers
In 1964, Ronald Graham proved that there exist relatively prime natural numbers a and b such that the sequence {An} defined by An = An-1 + An-2 (n 2; A0 = a, A1 = b) contains no ...
John W. Nicol
102
Voted
DM
2008
123views more  DM 2008»
15 years 19 days ago
Graphic sequences with a realization containing a generalized friendship graph
: Gould, Jacobson and Lehel (Combinatorics, Graph Theory and Algorithms, Vol.I (1999) 451
Jian-Hua Yin, Gang Chen, John R. Schmitt
77
Voted
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
15 years 7 days ago
New Bounds for Codes Identifying Vertices in Graphs
Let G = (V, E) be an undirected graph. Let C be a subset of vertices that we shall call a code. For any vertex v V , the neighbouring set N(v, C) is the set of vertices of C at d...
Gérard D. Cohen, Iiro S. Honkala, Antoine L...
COCOON
1999
Springer
15 years 4 months ago
A New Approach for Speeding Up Enumeration Algorithms and Its Application for Matroid Bases
Abstract: We propose a new approach for speeding up enumeration algorithms. The approach does not rely on data structures deeply, instead utilizes analysis of computation time. It ...
Takeaki Uno