Generalizations of Hoffman's existence theorem for circulations | Zendy

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Generalizations of Hoffman's existence theorem for circulations

Author(s) -

Hassin Refael

Publication year - 1981

Publication title -

networks

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.977

H-Index - 64

eISSN - 1097-0037

pISSN - 0028-3045

DOI - 10.1002/net.3230110303

Subject(s) - circulation (fluid dynamics) , mathematics , flow (mathematics) , set (abstract data type) , flow network , commodity , mathematical economics , combinatorics , discrete mathematics , computer science , economics , geometry , finance , physics , thermodynamics , programming language

Hoffman's Existence Theorem for circulations gives a necessary and sufficient condition for the existence of a feasible circulation in a directed network with upper and lower bounds on the flow along each of the arcs. This paper presents new existence theorems for more general types of flows in directed networks: flows with gains, two‐commodity flows, and flows with set constraints.

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