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» Packing Cycles in Graphs
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95
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CORR
2008
Springer
95views Education» more  CORR 2008»
15 years 16 days ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic
JCT
2011
93views more  JCT 2011»
14 years 3 months ago
A graph-theoretic approach to quasigroup cycle numbers
Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given finite order n, showing that it is congruent mod 2 to the tria...
Brent Kerby, Jonathan D. H. Smith
90
Voted
ARSCOM
2004
86views more  ARSCOM 2004»
15 years 10 days 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
CSR
2010
Springer
15 years 3 months ago
A SAT Based Effective Algorithm for the Directed Hamiltonian Cycle Problem
Abstract. The Hamiltonian cycle problem (HCP) is an important combinatorial problem with applications in many areas. While thorough theoretical and experimental analyses have been ...
Gerold Jäger, Weixiong Zhang
119
Voted
ISPAN
2008
IEEE
15 years 6 months ago
Product Line Sigraphs
Intuitively, a signed graph is a graph in which every edge is labeled with a + or − sign. For each edge, its sign represents the mode of the relationship between the vertices it...
Daniela Ferrero