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» On pancyclism in hamiltonian graphs
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COCOON
2003
Springer
14 years 18 days ago
Fault-Hamiltonicity of Product Graph of Path and Cycle
We investigate hamiltonian properties of Pm × Cn, m ≥ 2 and even n ≥ 4, which is bipartite, in the presence of faulty vertices and/or edges. We show that Pm×Cn with n even is...
Jung-Heum Park, Hee-Chul Kim
DAC
1995
ACM
13 years 11 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
DM
2008
114views more  DM 2008»
13 years 7 months ago
Subdivisions of graphs: A generalization of paths and cycles
One of the basic results in graph theory is Dirac's theorem, that every graph of order n 3 and minimum degree n/2 is Hamiltonian. This may be restated as: if a graph of ord...
Ch. Sobhan Babu, Ajit A. Diwan
CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 3 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...
CORR
2010
Springer
60views Education» more  CORR 2010»
13 years 7 months ago
Hitting time results for Maker-Breaker games
We study Maker-Breaker games played on the edge set of a random graph. Specifically, we consider the random graph process and analyze the first time in a typical random graph proc...
Sonny Ben-Shimon, Asaf Ferber, Dan Hefetz, Michael...