multiflow

English

Etymology

multi- +‎ flow

Noun

multiflow (plural multiflows)

1. (graph theory) A flow function that operates on the set of edges (ordered pairs of vertices) on the intersection of two related directed graphs.
   • 2008, Guyslain Naves, András Sebő, “Multiflow Feasibility: An Annotated Tableau”, in William J. Cook, László Lovász, Jens Vygen, editors, Research Trends in Combinatorial Optimization, Berlin: Springer, →ISBN, page 266:

     For vertex-capacitated multiflows the unary case has to be distinguished from vertex-disjoint paths if G is restricted for instance to planar graphs.

   • 2010, Bernhard Hämmerli, Critical Information Infrastructures Security, page 32:

     Given that several dependency types flow through the networks, multicommodity flows or multiflows is a natural theoretical framework to map the presented model for further investigations.

   • 2020, Naveen Garg, Nikhil Kumar, András Sebő, “Integer Plane Multiflow Maximisation: Flow-Cut Gap and One-Quarter-Approximation”, in Daniel Bienstock, Giacomo Zambelli, editors, Integer Programming and Combinatorial Optimization: 21st International Conference, IPCO 2020, London, UK, June 8–10, 2020, Proceedings (Lecture Notes in Computer Science; 12125), Cham: Springer Nature, →ISBN, page 148:

     Despite these restricted multiflows, the gap between integer and half-integer flow is at least 1/2 for these graphs […]