AbstractWe give a degree sum condition for three independent vertices under which every matching of a graph lies in a hamiltonian cycle. We also show that the bound for the degree sum is almost the best possible
The aim of this paper is to prove that if s > 1 and G is a graph of order n > 4s + 6 satisfyin...
AbstractLet G be a k-connected graph of order n. In [1], Bondy (1980) considered a degree sum condit...
AbstractFor a graph G, let σk(G) be the minimum degree sum of an independent set of k vertices. Ore ...
AbstractWe give a degree sum condition for three independent vertices under which every matching of ...
AbstractWe give a sufficient condition for hamiltonism of a 2-connected graph involving the degree s...
AbstractLet S be a set of vertices of a k-connected graph G. We denote the smallest sum of degrees o...
AbstractUsing the property that being s-edge-Hamiltonian is (n+s)-stable, we characterize all 3-conn...
Let G be an undirected simple graph on \(n \geq 3\) vertices with the degree sum of any two nonadja...
AbstractFor a graph G, let σk(G) be the minimum degree sum of an independent set of k vertices. Ore ...
AbstractFor a graph G, let σ2(G) denote the minimum degree sum of two nonadjacent vertices (when G i...
For a graph G, let σ2(G) denote the minimum degree sum of two nonadjacent vertices (when G is comple...
AbstractLet G be a 2-connected claw-free graph on n vertices. Let σk(G) be the minimum degree sum am...
AbstractFor a graph G, let σ2(G) denote the minimum degree sum of two nonadjacent vertices (when G i...
AbstractD. Bauer, H. J. Broersma, R. Li, and H. J. Veldman proved that ifGis a 2-connected graph wit...
AbstractLet S be a set of vertices of a k-connected graph G. We denote the smallest sum of degrees o...
The aim of this paper is to prove that if s > 1 and G is a graph of order n > 4s + 6 satisfyin...
AbstractLet G be a k-connected graph of order n. In [1], Bondy (1980) considered a degree sum condit...
AbstractFor a graph G, let σk(G) be the minimum degree sum of an independent set of k vertices. Ore ...
AbstractWe give a degree sum condition for three independent vertices under which every matching of ...
AbstractWe give a sufficient condition for hamiltonism of a 2-connected graph involving the degree s...
AbstractLet S be a set of vertices of a k-connected graph G. We denote the smallest sum of degrees o...
AbstractUsing the property that being s-edge-Hamiltonian is (n+s)-stable, we characterize all 3-conn...
Let G be an undirected simple graph on \(n \geq 3\) vertices with the degree sum of any two nonadja...
AbstractFor a graph G, let σk(G) be the minimum degree sum of an independent set of k vertices. Ore ...
AbstractFor a graph G, let σ2(G) denote the minimum degree sum of two nonadjacent vertices (when G i...
For a graph G, let σ2(G) denote the minimum degree sum of two nonadjacent vertices (when G is comple...
AbstractLet G be a 2-connected claw-free graph on n vertices. Let σk(G) be the minimum degree sum am...
AbstractFor a graph G, let σ2(G) denote the minimum degree sum of two nonadjacent vertices (when G i...
AbstractD. Bauer, H. J. Broersma, R. Li, and H. J. Veldman proved that ifGis a 2-connected graph wit...
AbstractLet S be a set of vertices of a k-connected graph G. We denote the smallest sum of degrees o...
The aim of this paper is to prove that if s > 1 and G is a graph of order n > 4s + 6 satisfyin...
AbstractLet G be a k-connected graph of order n. In [1], Bondy (1980) considered a degree sum condit...
AbstractFor a graph G, let σk(G) be the minimum degree sum of an independent set of k vertices. Ore ...