In a connected graph any two longest paths intersect at a common vertex. It is open whether any three longest paths in a connected graph intersect at a common vertex.
Aug 28, 2023
Let be the minimum cardinality of a transversal of longest paths in , that is, a set of vertices that intersects all longest paths in a graph.
Let lpt(G) be the minimum cardinality of a transversal of longest paths in G, that is, a set of vertices that intersects all longest paths in a graph G.
Let lpt(G) be the minimum cardinality of a set of vertices that intersects all longest paths in a connected graph G. We show that, if G is a chordal graph, ...
Feb 22, 2013 · Abstract:Let G be a graph of order n. Let lpt(G) be the minimum cardinality of a set X of vertices of G such that X intersects every longest ...
Feb 15, 2023 · We show that connected graphs admit sublinear longest path transversals. This improves an earlier result of Rautenbach and Sereni and is related ...
We show that connected graphs admit sublinear longest path transversals. This improves an earlier result of Rautenbach and Sereni and is related to the fifty- ...
Let lpt(G) be the minimum cardinality of a transversal of longest paths in G, that is, a set of vertices that intersects all longest paths in a graph G.
People also ask
What is the longest path optimization?
Do any three longest paths in a connected graph have a vertex in common?
Which is the longest path?
What is the longest path in a weighted graph?
Abstract. Let $\lpt(G)$ be the minimum cardinality of a set of vertices that intersects all longest paths in a graph $G$. Let $\omega(G)$ be the size of a ...
The minimum sizes of transversals of longest paths can be bounded in classes of graphs with small separators, such as planar graphs and graphs of bounded ...