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» 2-Factors in Hamiltonian Graphs
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DM
2008
114views more  DM 2008»
14 years 12 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
DAM
1999
128views more  DAM 1999»
14 years 11 months ago
Graph Classes Between Parity and Distance-hereditary Graphs
Several graph problems (e.g., steiner tree, connected domination, hamiltonian path, and isomorphism problem), which can be solved in polynomial time for distance-hereditary graphs...
Serafino Cicerone, Gabriele Di Stefano
IPL
2007
114views more  IPL 2007»
14 years 11 months ago
Spanning trees with minimum weighted degrees
Given a metric graph G, we are concerned with finding a spanning tree of G where the maximum weighted degree of its vertices is minimum. In a metric graph (or its spanning tree),...
Mohammad Ghodsi, Hamid Mahini, Kian Mirjalali, Sha...
CORR
2010
Springer
60views Education» more  CORR 2010»
14 years 12 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...
DM
1998
68views more  DM 1998»
14 years 11 months ago
Alternating cycles and trails in 2-edge-coloured complete multigraphs
We consider edge-coloured multigraphs. A trail in such a multigraph is alternating if its successive edges differ in colour. Let G be a 2-edge-coloured complete graph and let M b...
Jørgen Bang-Jensen, Gregory Gutin