Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given finite order n, showing that it is congruent mod 2 to the tria...
We show that in any graph G on n vertices with d(x) + d(y) n for any two nonadjacent vertices x and y, we can fix the order of k vertices on a given cycle and find a hamiltonian c...
Abstract. The Hamiltonian cycle problem (HCP) is an important combinatorial problem with applications in many areas. While thorough theoretical and experimental analyses have been ...
Intuitively, a signed graph is a graph in which every edge is labeled with a + or − sign. For each edge, its sign represents the mode of the relationship between the vertices it...