AbstractIn 1960, Ore found a simple sufficient condition for a graph to have a Hamiltonian cycle. We expose a heuristic algorithm, hidden in Ore's proof, which can be very effective in actually finding such a cycle. This algorithm is always reasonably efficient and suggests an easy proof that almost all graphs are Hamiltonian
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices o...
A graph G is called hamiltonian if it contains a Hamilton cycle, i.e. a cycle containing all vertice...
A number of results in hamiltonian graph theory are of the form P1 implies P2, where P1 is a propert...
AbstractIn 1960, Ore found a simple sufficient condition for a graph to have a Hamiltonian cycle. We...
A classic theorem of Dirac from 1952 states that every graph with minimum degree at least n/2 contai...
AbstractIn 1960 Ore proved the following theorem: Let G be a graph of order n. If d(u)+d(v)⩾n for ev...
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is cal...
This thesis introduces to the readers the basic characteristics of Hamiltonian cycles. Hamiltonian c...
Dirac's theorem (1952) is a classical result of graph theory, stating that an $n$-vertex graph ($n \...
Consider a random graph G composed of a Hamiltonian cycle on n labeled vertices and dn random edges ...
Dirac\u27s famous theorems states that If G is a graph of order () 3 such that the minimum degree ()...
International audienceA graph is hamiltonian if it contains a cycle which goes through all vertices ...
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices o...
AbstractA new sufficient condition for a graph to be Hamiltonian is given that does not require that...
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is cal...
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices o...
A graph G is called hamiltonian if it contains a Hamilton cycle, i.e. a cycle containing all vertice...
A number of results in hamiltonian graph theory are of the form P1 implies P2, where P1 is a propert...
AbstractIn 1960, Ore found a simple sufficient condition for a graph to have a Hamiltonian cycle. We...
A classic theorem of Dirac from 1952 states that every graph with minimum degree at least n/2 contai...
AbstractIn 1960 Ore proved the following theorem: Let G be a graph of order n. If d(u)+d(v)⩾n for ev...
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is cal...
This thesis introduces to the readers the basic characteristics of Hamiltonian cycles. Hamiltonian c...
Dirac's theorem (1952) is a classical result of graph theory, stating that an $n$-vertex graph ($n \...
Consider a random graph G composed of a Hamiltonian cycle on n labeled vertices and dn random edges ...
Dirac\u27s famous theorems states that If G is a graph of order () 3 such that the minimum degree ()...
International audienceA graph is hamiltonian if it contains a cycle which goes through all vertices ...
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices o...
AbstractA new sufficient condition for a graph to be Hamiltonian is given that does not require that...
A Hamilton cycle in a graph is a cycle that passes through every vertex of the graph. A graph is cal...
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices o...
A graph G is called hamiltonian if it contains a Hamilton cycle, i.e. a cycle containing all vertice...
A number of results in hamiltonian graph theory are of the form P1 implies P2, where P1 is a propert...
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