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» Long cycles in 3-cyclable graphs
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ARSCOM
2004
86views more  ARSCOM 2004»
13 years 5 months ago
New Conditions for k-ordered Hamiltonian Graphs
We show that in any graph G on n vertices with d(x) + d(y) n for any two nonadjacent vertices x and y, we can fix the order of k vertices on a given cycle and find a hamiltonian c...
Guantao Chen, Ronald J. Gould, Florian Pfender
ISCAS
2003
IEEE
116views Hardware» more  ISCAS 2003»
13 years 10 months ago
Using FPGAs to solve the Hamiltonian cycle problem
The Hamiltonian Cycle (HC) problem is an important graph problem with many applications. The general backtracking algorithm normally used for random graphs often takes far too lon...
Micaela Serra, Kenneth B. Kent
JCT
2011
86views more  JCT 2011»
12 years 11 months ago
Circumference of 3-connected claw-free graphs and large Eulerian subgraphs of 3-edge-connected graphs
The circumference of a graph is the length of its longest cycles. Results of Jackson, and Jackson and Wormald, imply that the circumference of a 3-connected cubic n-vertex graph i...
Mark Bilinski, Bill Jackson, Jie Ma, Xingxing Yu
ENTCS
2008
106views more  ENTCS 2008»
13 years 5 months ago
Towards a Sharing Strategy for the Graph Rewriting Calculus
The graph rewriting calculus is an extension of the -calculus, handling graph like structures rather than simple terms. The calculus over terms is naturally generalized by using u...
Paolo Baldan, Clara Bertolissi, Horatiu Cirstea, C...
DBSEC
2008
152views Database» more  DBSEC 2008»
13 years 6 months ago
An Attack Graph-Based Probabilistic Security Metric
To protect critical resources in today’s networked environments, it is desirable to quantify the likelihood of potential multi-step attacks that combine multiple vulnerabilities....
Lingyu Wang, Tania Islam, Tao Long, Anoop Singhal,...