Add to ORKGWe present (9/4-ε)-tough graphs without a Hamilton path for arbitrary >0, thereby refuting a well-known conjecture due to Chvátal. We also present (7/4-ε) -tough chordal graphs without a Hamilton path for any ε>0
AbstractRelated to Chvátal's famous conjecture stating that every 2-tough graph is hamiltonian, we s...
DeLeon 1 A graph G is Hamiltonian if it has a spanning cycle. The problem of determining if a graph ...
AbstractWe prove the following theorem: Let G be a graph with degree sequence d1, d2,…,dn and let t ...
We present (9/4-ε)-tough graphs without a Hamilton path for arbitrary >0, thereby refuting a well-kn...
AbstractWe present (94−ε)-tough graphs without a Hamilton path for arbitrary ε>0, thereby refuting a...
AbstractWe present (94−ε)-tough graphs without a Hamilton path for arbitrary ε>0, thereby refuting a...
We now know that not every $2$-tough graph is hamiltonian. In fact for every $\epsilon > 0$, there e...
We now know that not every 2-tough graph is hamiltonian. In fact for every ϵ > 0, there exists a (9/...
In this paper, we show that the conjecture of Chv tal, which states that any 1-tough graph is either...
AbstractThe toughness of a graph G is defined as the largest real number t such that deletion of any...
It is known that there exist 4-regular, 1-tough graphs which are non-hamiltonian. The smallest such ...
AbstractWe consider toughness conditions that guarantee the existence of a hamiltonian cycle in k-tr...
A graph G is called hamiltonian-connected if for every pair of distinct vertices {u, v} of G there e...
AbstractA graph G is called chordal if every cycle of G of length at least four has a chord. By a th...
The toughness of a (noncomplete) graph G is the minimum value of t for which there is a vertex cut A...
AbstractRelated to Chvátal's famous conjecture stating that every 2-tough graph is hamiltonian, we s...
DeLeon 1 A graph G is Hamiltonian if it has a spanning cycle. The problem of determining if a graph ...
AbstractWe prove the following theorem: Let G be a graph with degree sequence d1, d2,…,dn and let t ...
We present (9/4-ε)-tough graphs without a Hamilton path for arbitrary >0, thereby refuting a well-kn...
AbstractWe present (94−ε)-tough graphs without a Hamilton path for arbitrary ε>0, thereby refuting a...
AbstractWe present (94−ε)-tough graphs without a Hamilton path for arbitrary ε>0, thereby refuting a...
We now know that not every $2$-tough graph is hamiltonian. In fact for every $\epsilon > 0$, there e...
We now know that not every 2-tough graph is hamiltonian. In fact for every ϵ > 0, there exists a (9/...
In this paper, we show that the conjecture of Chv tal, which states that any 1-tough graph is either...
AbstractThe toughness of a graph G is defined as the largest real number t such that deletion of any...
It is known that there exist 4-regular, 1-tough graphs which are non-hamiltonian. The smallest such ...
AbstractWe consider toughness conditions that guarantee the existence of a hamiltonian cycle in k-tr...
A graph G is called hamiltonian-connected if for every pair of distinct vertices {u, v} of G there e...
AbstractA graph G is called chordal if every cycle of G of length at least four has a chord. By a th...
The toughness of a (noncomplete) graph G is the minimum value of t for which there is a vertex cut A...
AbstractRelated to Chvátal's famous conjecture stating that every 2-tough graph is hamiltonian, we s...
DeLeon 1 A graph G is Hamiltonian if it has a spanning cycle. The problem of determining if a graph ...
AbstractWe prove the following theorem: Let G be a graph with degree sequence d1, d2,…,dn and let t ...