By analogy with the conjecture of Hirsch, we conjecture that the order of the largest total curvature of the central path associated to a polytope is the number of inequalities de...
Given an edge-weighted undirected graph G with a specified set of terminals, let the density of any subgraph be the ratio of its weight/cost to the number of terminals it contain...
1 A graph G is hamiltonian-connected if any two of its vertices are connected by a Hamilton2 path (a path including every vertex of G); and G is s-hamiltonian-connected if the del...
Let us denote by EX (m, n; {C4, . . . , C2t}) the family of bipartite graphs G with m and n vertices in its classes that contain no cycles of length less than or equal to 2t and h...