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DM
2006
91views more  DM 2006»
14 years 12 months ago
On the unique representability of spikes over prime fields
For an integer n 3, a rank-n matroid is called an n-spike if it consists of n three-point lines through a common point such that, for all k {1, 2, . . . , n - 1}, the union of e...
Zhaoyang Wu, Zhi-Wei Sun
DM
2006
83views more  DM 2006»
14 years 12 months ago
A note on k-cop, l-robber games on graphs
We give an algorithmic characterisation of finite cop-win digraphs. The case of k > 1 cops and k l 1 robbers is then reduced to the one cop case. Similar characterisations are ...
Gena Hahn, Gary MacGillivray
DM
2006
60views more  DM 2006»
14 years 12 months ago
On cycles through specified vertices
For a set X of vertices of a graph fulfilling local connectedness conditions the existence of a cycle containing X is proved. AMS classification: 05C38, 05C45, 05C35
Tobias Gerlach, Frank Göring, Jochen Harant, ...
DM
2006
93views more  DM 2006»
14 years 12 months ago
The number of equivalence classes of symmetric sign patterns
This paper shows that the number of sign patterns of totally non-zero symmetric n-by-n matrices, up to conjugation by monomial matrices and negation, is equal to the number of unl...
Peter J. Cameron, Charles R. Johnson
DM
2006
64views more  DM 2006»
14 years 12 months ago
Path extendability of claw-free graphs
Let G be a connected, locally connected, claw-free graph of order n and x, y be two vertices of G. In this paper, we prove that if for any 2-cut S of G, S {x, y} = , then each (x...
Yu Sheng, Feng Tian, Jianglu Wang, Bing Wei, Yongj...