… VerW-d%joint paths It is known that 1.3 has an analogue for vertex-disjoint paths, viz. Menger’s
thcorcm, and one might … gorithm to solve the vertex-disjoint version of the first problem. …

… to find vertex-disjoint paths for any set of pairs of endpoints in the graph, subject to constraints
that are optimal up to constant factors. In other words in our model the graph is chosen first…

… This work attempts to identify n − 1 vertex–disjoint paths from vertex P to ε by correcting
each non-fixed symbol to a fixed symbol. All non-fixed symbols are represented as a cycle …

Let n1, n2,..., n, be integers of at least two. Johansson gave a minimum degree condition for
a graph of order exactly n+ n2-----+ n, to contain k vertex-disjoint paths of order n1, n2,..., n, …

… By applying Theorem 2.1 with α/2 in place of α, we obtain a collection of at most C vertex-disjoint
paths whose union covers all but at most α|V (G1)|/2 ≤ αn/2 vertices of G1. Next we …

… undirected graphs respectively, while V and E stand for vertex-disjoint and edgedisjoint paths,
… If there are two vertex disjoint paths P~(sa, tl) and Pz(s~, t2) they can be found by a UVP2 …

… In this paper, we construct n + k − 1 vertex-disjoint paths … ) algorithm for finding vertex-disjoint
paths between every two … , all graphs are simple and undirected, we use graphs and …

… We observe that in each of these graphs, { e 1 , e 2 } is jammed. This is not always the case;
… that these are the only graphs which are con traction-minimal without k edge-disjoint paths. …

… , unless G belongs to certain classes of extremal graphs which we characterize; (ii) For the
… of exceptional graphs we define, then G can be partitioned into two vertex-disjoint paths P1 …

… vertexdisjoint paths problem for graphs G with maximum vertex-degree three. The planar
vertex-disjoint paths … all minor-closed classes of graphs for which the disjoint paths problem is …