BACKGROUND: Hypertension induces structural and functional damage in multiple organs. Evidence of subclinical damage ...

A famous problem at the intersection of topology and combinatorial graph theory is the Utility Problem. Say you have three houses and three utilities and you need to connect each house to each utility ...

Insects have long inspired humans, even before the dawn of time. There is a theory that ants inspired human agriculture. As any observant child will know, ants routinely take seeds into their nests, ...

This presents a set-based topological sorting algorithm for directed acyclic graphs (DAG). Unlike traditional algorithms that produce a linear order of nodes, it yields a linear sequence of sets of ...

Dijkstra’s algorithm is great as long as we have no negative weight edges in our graph. But there are many problems for which it is natural to represent weights with positive and negative values—gains ...

Computer scientists have written a network flow algorithm that computes almost as fast as is mathematically possible. This algorithm computes the maximum traffic flow with minimum transport costs for ...

Computer scientists at ETH Zurich have written a network flow algorithm that computes almost as fast as is mathematically possible. This algorithm computes the maximum traffic flow with minimum ...

As mathematical abstractions go, graphs are among the simplest. Scatter a bunch of points in a plane. Connect some of them with lines. That’s all a graph is. And yet they are incredibly powerful. They ...

Download PDF Join the Discussion View in the ACM Digital Library The maximum flow problem and its generalization, the minimum-cost flow problem, are classic combinatorial graph problems that find ...

In October 2015 my time training mathematics teachers at a French high school in Port Vila, Vanuatu, was coming to an end. The principal invited me to share kava, a traditional drink in the country.

Graphs are used as a model of complex relationships among data in biological science since the advent of systems biology in the early 2000. In particular, graph data analysis and graph data mining ...

NeighborNet constructs phylogenetic networks to visualize distance data. It is a popular method used in a wide range of applications. While several studies have investigated its mathematical features, ...