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References
SHOWING 1-10 OF 11 REFERENCES
Improved degree conditions for 2-factors with k cycles in hamiltonian graphs
- MathematicsDiscret. Math.
- 2014
Degree conditions for 2-factors
- MathematicsJ. Graph Theory
- 1997
It is proved that for k ≤ (n/4), Ore's classical condition for a graph to be hamiltonian implies that the graph contains a 2-factor with exactly k components.
Degree conditions for 2-factors
- Mathematics
- 1997
For any positive integer k, we investigate degree conditions implying that a graph G of order n contains a 2-factor with exactly k components (vertex disjoint cycles). In particular, we prove that…
Robustness of graph properties
- MathematicsBCC
- 2017
Various measures that can be used to study robustness of graph properties are discussed, illustrating them with examples.
On extremal problems of graphs and generalized graphs
- Mathematics, Computer Science
- 1964
It is proved that to everyl andr there is anε(l, r) so that forn>n0 everyr-graph ofn vertices andnr−ε( l, r), which means that all ther-tuples occur in ther-graph.
Generalizations of Dirac's theorem in Hamiltonian graph theory - A survey
- MathematicsDiscret. Math.
- 2013
Updating the hamiltonian problem - A survey
- MathematicsJ. Graph Theory
- 1991
This article contains some material on related topics such as traceable, hamiltonian-connected and pancyclic graphs and digraphs, as well as an extensive bibliography of papers in the area.
2-Factors in Hamiltonian Graphs
- MathematicsArs Comb.
- 2004
We show that every hamiltonian claw-free graph with a vertex x of degree d(x) ≥ 7 has a 2-factor consisting of exactly two cycles.