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» 2-Factors in Hamiltonian Graphs
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WG
2004
Springer
15 years 5 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
TC
1998
14 years 11 months ago
Optimal Elections in Faulty Loop Networks and Applications
—Loop networks (or Hamiltonian circulant graphs) are a popular class of fault-tolerant network topologies which include rings and complete graphs. For this class, the fundamental...
Bernard Mans, Nicola Santoro
DM
2008
95views more  DM 2008»
14 years 12 months ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...
MCU
2004
129views Hardware» more  MCU 2004»
15 years 1 months ago
Solving 3CNF-SAT and HPP in Linear Time Using WWW
We propose linear time solutions to two much celebrated NP-complete problems, namely the 3CNF-SAT and the directed Hamiltonian Path Problem (HPP), based on AHNEPs having all resour...
Florin Manea, Carlos Martín-Vide, Victor Mi...
DAC
1995
ACM
15 years 3 months ago
Automatic Layout Synthesis of Leaf Cells
––This paper describes algorithms for automatic layout synthesisofleafcellsin1–dandinanew1–1/2–dlayoutstyle,useful for non–dual circuit styles. The graph theory based a...
Sanjay Rekhi, J. Donald Trotter, Daniel H. Linder