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89
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DM
2008
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15 years 24 days ago
A novel algorithm enumerating bent functions
By the relationship between the Walsh spectra at partial points and the Walsh spectra of its sub-functions, by the action of general linear group on the set of Boolean functions, ...
Qingshu Meng, Min Yang, Huanguo Zhang, Jingsong Cu...
94
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DM
2008
73views more  DM 2008»
15 years 24 days ago
Graphs with the n-e.c. adjacency property constructed from affine planes
We give new examples of graphs with the n-e.c. adjacency property. Few explicit families of n-e.c. graphs are known, despite the fact that almost all finite graphs are n-e.c. Our ...
C. A. Baker, Anthony Bonato, Julia M. Nowlin Brown...
96
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DM
2008
139views more  DM 2008»
15 years 24 days ago
On domination and reinforcement numbers in trees
The reinforcement number of a graph is the smallest number of edges that have to be added to a graph to reduce the domination number. We introduce the k-reinforcement number of a ...
Jean R. S. Blair, Wayne Goddard, Stephen T. Hedetn...
108
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DM
2008
177views more  DM 2008»
15 years 24 days ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
72
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DM
2008
110views more  DM 2008»
15 years 24 days ago
Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks
We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is hamiltonian), by Thomassen (every 4-connected line graph is hamiltonian) and by Fleischne...
Hajo Broersma, Gasper Fijavz, Tomás Kaiser,...