We conduct an experimental analysis of a distributed, randomized algorithm for edge coloring graphs. The algorithm is extremely simple, yet, according to the probabilistic analysi...
Madhav V. Marathe, Alessandro Panconesi, Larry D. ...
Abstract. We relate signs of edge-colorings (as in classical Penrose's result) with "Pfaffian labelings", a generalization of Pfaffian orientations, whereby edges ar...
The essence of an Internet router is an n ¡ n switch which routes packets from input to output ports. Such a switch can be viewed as a bipartite graph with the input and output p...
Gagan Aggarwal, Rajeev Motwani, Devavrat Shah, An ...
We study the edge-coloring problem in the message-passing model of distributed computing. This is one of the most fundamental problems in this area. Currently, the best-known dete...
In the strong edge coloring problem, the objective is to color the edges of the given graph with the minimum number of colors so that every color class is an induced matching. In ...