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JGT
2006
95views more  JGT 2006»
15 years 1 months ago
Maximal independent sets in graphs with at most r cycles
We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices and at most r cycles. The second family i...
Goh Chee Ying, Koh Khee Meng, Bruce E. Sagan, Vinc...
DM
2010
83views more  DM 2010»
15 years 2 months ago
Packing edge-disjoint cycles in graphs and the cyclomatic number
For a graph G let
Jochen Harant, Dieter Rautenbach, Peter Recht, Fri...
DM
2008
68views more  DM 2008»
15 years 2 months ago
Heavy cycles in k-connected weighted graphs with large weighted degree sums
A weighted graph is one in which every edge e is assigned a nonnegative number w(e), called the weight of e. The weight of a cycle is defined as the sum of the weights of its edge...
Bing Chen, Shenggui Zhang, T. C. Edwin Cheng
GC
2007
Springer
15 years 1 months ago
Consistent Cycles in Graphs and Digraphs
Let Γ be a finite digraph and let G be a subgroup of the automorphism group of Γ. A directed cycle C of Γ is called G-consistent whenever there is an element of G whose restri...
Stefko Miklavic, Primoz Potocnik, Steve Wilson