A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) addi...
We address the question of providing throughput guarantees through distributed scheduling, which has remained an open problem for some time. We consider a simple distributed sched...
Let G be a simple graph and f : V (G) → {1, 3, 5, ...} an odd integer valued function defined on V (G). A spanning subgraph F of G is called a (1, f)odd factor if dF (v) ∈ {1...
Abstract. Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wish to partition G into connected components...