between Ryjacek's closure and the K4-closureintroduced duced by the first author. Our main result deals with a variation on the K-4-closure. It implies a simpler proof of Ryjacek's closure theorem, and yields a more general closure concept which is not restricted to claw-free graphs ...
We show that these closure operations on claw-free graphs all preserve the minimum number of components of an even factor. In particular, we show that a claw-free graph G has an even factor with at most k components if and only if cl s e ( G ) ( cl ( G ) , cl 2 f ( G )...
Free State of Joneschronicles a genuinely interesting moment in American history. During the Civil War, white Southern farmer Newt Knight served in the Confederate Army as a medic. An abolitionist and pacifist, he deserts the war after the death of his nephew. Branded an outlaw and chased into...
We introduce a closure concept for a superclass of the class of claw-free graphs defined by a degree condition on end vertices of induced claws. We show that the closure of a graph is the line graph of a triangle-free graph, and that the closure operation preserves the length of a long...
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Don't suffer in silence. With a team of experienced attorneys, we will fight for the closure you deserve. Take back control today. Contact Minc Law What is a Sextortionist & What Do Sextortionists Do? A sextortionist is a person who threatens to publish explicit material if you do not...
It is equivalent to the seemingly stronger conjecture by Matthewsand Sumner [77] that every 4-connected claw-free graph is Hamiltonian. Ryjáček [90] cleverly employed a graph closureconcept to prove equivalence. Along the same lines, he proved that every 7-connected claw-free graph is ...
A closure concept for claw-free graphs (graphs which contain no induced copy of K 1 3) has been introduced by Ryjacek [29]. Here edges are added to connected ind...H.J. Broersma, A note on K4-closures in hamiltonian graph theory, Discrete Math. 121 (1993) 19-23....
In particular Ryjacek defined in 1997 a closure concept for claw-free graphs based on local completion. The completion is performed for every eligible vertex of the graph. Extending these works, Vallee and Bretto recently introduced a new closure concept preserving Hamiltonicity and based on local...
- In the completely closed position of the claw closure, the top (48) of a finger (31) has a short projection (51), which locks in a recess (54) of the metal strip (44). The locking may be released manually. The recess engages under pressure on a complementary shaped upper web(4...