We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
The Floyd-Warshall algorithm is a simple and widely used algorithm to compute shortest paths between all pairs of vertices in an edge weighted directed graph. It can also be used ...
Abstract. Computation of quickest paths has undergoing a rapid development in recent years. It turns out that many high-performance route planning algorithms are made up of several...
Emanuele Berrettini, Gianlorenzo D'Angelo, Daniel ...
We study graph partitioning problems on graphs with edge capacities and vertex weights. The problems of b-balanced cuts and k-balanced partitions are unified into a new problem ca...
Guy Even, Joseph Naor, Satish Rao, Baruch Schieber
The connectivity index w(G) of a graph G is the sum of the weights (d(u)d(v)) of all edges uv of G, where is a real number ( = 0), and d(u) denotes the degree of the vertex u. Le...