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Directed submodularity, ditroids and directed submodular flows

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/net.3230120102openalex-snapshot
Minimum cost flow with set‐constraints
inferredcites →https://doi.org/10.1007/3-540-36478-1_2openalex-snapshot
Submodular Functions, Matroids, and Certain Polyhedra
inferredcites →https://doi.org/10.1007/978-3-642-68874-4_10openalex-snapshot
Submodular functions and convexity
inferredcites →https://doi.org/10.1007/978-3-642-68874-4_18openalex-snapshot
Min-Max Results in Combinatorial Optimization
inferredcites →https://doi.org/10.1007/bf01582162openalex-snapshot
On box totally dual integral polyhedra
inferredcites →https://doi.org/10.1007/bf01588971openalex-snapshot
An analysis of approximations for maximizing submodular set functions—I
inferredcites →https://doi.org/10.1007/bf02592001openalex-snapshot
On the subdifferential of a submodular function
inferredcites →https://doi.org/10.1007/bf02592217openalex-snapshot
Structures of polyhedra determined by submodular functions on crossing families
inferredcites →https://doi.org/10.1007/bf02592218openalex-snapshot
Theory of submodular programs: A fenchel-type min-max theorem and subgradients of submodular functions
inferredcites →https://doi.org/10.1007/bfb0121005openalex-snapshot
A submodular network simplex method
inferredcites →https://doi.org/10.1007/bfb0121012openalex-snapshot
Submodular systems and related topics
inferredcites →https://doi.org/10.1007/bfb0121195openalex-snapshot
An analysis of approximations for maximizing submodular set functions—II
inferredcites →https://doi.org/10.1016/0024-3795(84)90147-2openalex-snapshot
A system of linear inequalities with a submodular function on {0,±1}; vectors
inferredcites →https://doi.org/10.1016/0095-8956(77)90055-7openalex-snapshot
A combinatorial abstraction of linear programming
inferredcites →https://doi.org/10.1016/0095-8956(78)90080-1openalex-snapshot
Orientability of matroids
inferredcites →https://doi.org/10.1016/0095-8956(80)90075-1openalex-snapshot
Decomposition of regular matroids
inferredcites →https://doi.org/10.1016/0095-8956(80)90082-9openalex-snapshot
Convexity in oriented matroids
inferredcites →https://doi.org/10.1016/0095-8956(84)90029-7openalex-snapshot
Finding feasible vectors of Edmonds-Giles polyhedra
inferredcites →https://doi.org/10.1016/0166-218x(82)90053-1openalex-snapshot
Minimization on submodular flows
inferredcites →https://doi.org/10.1016/0166-218x(83)90040-9openalex-snapshot
Canonical decompositions of symmetric submodular systems
inferredcites →https://doi.org/10.1016/0378-4754(86)90100-xopenalex-snapshot
Combinatorial optimization: Annotated bibliographies.
inferredcites →https://doi.org/10.1016/b978-0-12-566780-7.50013-1openalex-snapshot
Total Dual Integrality of Linear Inequality Systems
inferredcites →https://doi.org/10.1016/b978-0-12-566780-7.50015-5openalex-snapshot
Submodular Flows
inferredcites →https://doi.org/10.1016/b978-0-12-566780-7.50019-2openalex-snapshot
Greedoids - A Structural Framework for the Greedy Algorithm
inferredcites →https://doi.org/10.1016/b978-0-12-566780-7.50025-8openalex-snapshot
Total Dual Integrality from Directed Graphs, Crossing Families, and Sub- and Supermodular Functions
inferredcites →https://doi.org/10.1016/s0167-5060(08)70734-9openalex-snapshot
A Min-Max Relation for Submodular Functions on Graphs
inferredcites →https://doi.org/10.1016/s0304-0208(08)72446-0openalex-snapshot
An Algorithm for Submodular Functions on Graphs
inferredcites →https://doi.org/10.1016/s0304-0208(08)72451-4openalex-snapshot
Flow Network Formulations of Polymatroid Optimization Problems
inferredcites →https://doi.org/10.1016/s0304-0208(08)72458-7openalex-snapshot
Minimization of Some Nonlinear Functions over Polymatroidal Network Flows
inferredcites →https://doi.org/10.1016/s0304-0208(08)72968-2openalex-snapshot
Minimization of Combined Objective Functions on Integral Submodular Flows
inferredcites →https://doi.org/10.1016/s0304-0208(13)73561-8openalex-snapshot
Annals of Discrete Mathematics
inferredcites →https://doi.org/10.1057/jors.1985.59openalex-snapshot
Mathematical Programming
inferredcites →https://doi.org/10.1287/moor.10.2.251openalex-snapshot
A Primal-Dual Algorithm for Submodular Flows
inferredcites →https://doi.org/10.1287/moor.13.3.435openalex-snapshot
Odd Submodular Functions, Dilworth Functions and Discrete Convex Functions
inferredcites →https://doi.org/10.1287/moor.7.3.334openalex-snapshot
Computing Maximal “Polymatroidal” Network Flows
inferredcites →https://doi.org/10.1287/moor.7.3.410openalex-snapshot
Maximising Real-Valued Submodular Functions: Primal and Dual Heuristics for Location Problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-45535-3_13openalex-snapshot
Bisubmodular Function Minimization
inferred← citeshttps://doi.org/10.1007/3-540-59408-6_54openalex-snapshot
Coverings and delta-coverings
inferred← citeshttps://doi.org/10.1007/978-3-642-22993-0_37openalex-snapshot
Submodularity on a Tree: Unifying $L^\natural$ -Convex and Bisubmodular Functions
inferred← citeshttps://doi.org/10.1007/978-3-642-32147-4_40openalex-snapshot
Towards Minimizing k-Submodular Functions
inferred← citeshttps://doi.org/10.1007/978-3-642-32278-5_5openalex-snapshot
The Greedy Algorithm
inferred← citeshttps://doi.org/10.1007/978-3-642-33974-5_6openalex-snapshot
Tractable Languages
inferred← citeshttps://doi.org/10.1007/bf01205074openalex-snapshot
b-matching degree-sequence polyhedra
inferred← citeshttps://doi.org/10.1007/bf02592201openalex-snapshot
On structures of bisubmodular polyhedra
inferred← citeshttps://doi.org/10.1007/s10107-008-0242-9openalex-snapshot
Strongly polynomial and fully combinatorial algorithms for bisubmodular function minimization
inferred← citeshttps://doi.org/10.1007/s10107-014-0824-7openalex-snapshot
Discrete convexity and polynomial solvability in minimum 0-extension problems
inferred← citeshttps://doi.org/10.1007/s10107-017-1171-2openalex-snapshot
Polynomial combinatorial algorithms for skew-bisubmodular function minimization
inferred← citeshttps://doi.org/10.1007/s13160-022-00499-xopenalex-snapshot
Discrete Fenchel duality for a pair of integrally convex and separable convex functions
inferred← citeshttps://doi.org/10.1007/s13160-023-00589-4openalex-snapshot
Recent progress on integrally convex functions
inferred← citeshttps://doi.org/10.1016/0012-365x(94)00246-fopenalex-snapshot
A characterization of bisubmodular functions
inferred← citeshttps://doi.org/10.1016/0024-3795(91)90020-wopenalex-snapshot
Representability of △-matroids over GF(2)
inferred← citeshttps://doi.org/10.1016/0024-3795(94)00011-5openalex-snapshot
Circuit Separation for Symmetric Matroids
inferred← citeshttps://doi.org/10.1016/b978-044488002-4/50013-0openalex-snapshot
10.1016/b978-044488002-4/50013-0
inferred← citeshttps://doi.org/10.1016/j.dam.2011.10.026openalex-snapshot
Generalized roof duality and bisubmodular functions
inferred← citeshttps://doi.org/10.1016/j.dam.2017.04.047openalex-snapshot
Parametric bisubmodular function minimization and its associated signed ring family
inferred← citeshttps://doi.org/10.1016/j.disc.2023.113855openalex-snapshot
Characterizations of the set of integer points in an integral bisubmodular polyhedron
inferred← citeshttps://doi.org/10.1016/j.disopt.2013.12.001openalex-snapshot
Generalized skew bisubmodularity: A characterization and a min–max theorem
inferred← citeshttps://doi.org/10.1016/j.disopt.2014.02.002openalex-snapshot
Bisubmodular polyhedra, simplicial divisions, and discrete convexity
inferred← citeshttps://doi.org/10.1016/j.disopt.2015.07.001openalex-snapshot
L-extendable functions and a proximity scaling algorithm for minimum cost multiflow problem
inferred← citeshttps://doi.org/10.1016/j.disopt.2021.100670openalex-snapshot
An exact cutting plane method for k -submodular function maximization
inferred← citeshttps://doi.org/10.1016/j.jctb.2022.07.005openalex-snapshot
Minimizing submodular functions on diamonds via generalized fractional matroid matchings
inferred← citeshttps://doi.org/10.1016/j.jmaa.2008.02.008openalex-snapshot
Bipolarization of posets and natural interpolation
inferred← citeshttps://doi.org/10.1016/j.orl.2020.10.007openalex-snapshot
A polyhedral approach to bisubmodular function minimization
inferred← citeshttps://doi.org/10.1016/j.tcs.2025.115302openalex-snapshot
Approximation algorithm and mechanism design for bisubmodular welfare maximization problem
inferred← citeshttps://doi.org/10.1016/s0012-365x(97)00044-7openalex-snapshot
The delta-sum of matching delta-matroids
inferred← citeshttps://doi.org/10.1016/s0167-5060(05)80010-xopenalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70131-6openalex-snapshot
References
inferred← citeshttps://doi.org/10.1080/02331939508844117openalex-snapshot
The Orthant Non-Interaction Theorem for Certain Combinatorial Polyhedra and its Implications in the Intersection and the Dilworth Truncation of Bisubmodular Functions
inferred← citeshttps://doi.org/10.1080/10556788.2020.1740219openalex-snapshot
Signed ring families and signed posets
inferred← citeshttps://doi.org/10.1109/ice.2015.7438689openalex-snapshot
Configuration processes in open data
inferred← citeshttps://doi.org/10.1137/090777463openalex-snapshot
Neighbor Systems and the Greedy Algorithm
inferred← citeshttps://doi.org/10.1137/1.9781611973105.127openalex-snapshot
Discrete Convexity and Polynomial Solvability in Minimum 0-Extension Problems: [Extended Abstract]
inferred← citeshttps://doi.org/10.1137/1.9781611973402.108openalex-snapshot
Maximizing Bisubmodular and k-Submodular Functions
inferred← citeshttps://doi.org/10.1137/110831684openalex-snapshot
Neighbor Systems, Jump Systems, and Bisubmodular Polyhedra
inferred← citeshttps://doi.org/10.1137/120893549openalex-snapshot
Skew Bisubmodularity and Valued CSPs
inferred← citeshttps://doi.org/10.1137/130936038openalex-snapshot
Oracle Tractability of Skew Bisubmodular Functions
inferred← citeshttps://doi.org/10.1137/s0895480103426339openalex-snapshot
Bisubmodular Function Minimization
inferred← citeshttps://doi.org/10.1137/s0895480191222926openalex-snapshot
Delta-Matroids, Jump Systems, and Bisubmodular Polyhedra
inferred← citeshttps://doi.org/10.1137/s0895480193242591openalex-snapshot
Multimatroids I. Coverings by Independent Sets
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A Min--Max Theorem for Bisubmodular Polyhedra
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Maximizing k -Submodular Functions and Beyond
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Mixed-Integer Programming Approaches to Generalized Submodular Optimization and Its Applications
inferred← citeshttps://doi.org/10.1287/moor.20.3.583openalex-snapshot
Least Majorized Elements and Generalized Polymatroids
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A GREEDY ALGORITHM FOR MINIMIZING A SEPARABLE CONVEX FUNCTION OVER AN INTEGRAL BISUBMODULAR POLYHEDRON
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BALANCED BISUBMODULAR SYSTEMS AND BIDIRECTED FLOWS
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CHARACTERIZING A VALUATED DELTA-MATROID AS A FAMILY OF DELTA-MATROIDS*
inferred← citeshttps://doi.org/10.15807/jorsj.61.71openalex-snapshot
L-CONVEXITY ON GRAPH STRUCTURES
inferred← citeshttps://doi.org/10.48550/arxiv.1005.2305openalex-snapshot
Generalized roof duality and bisubmodular functions
inferred← citeshttps://doi.org/10.48550/arxiv.2008.00988openalex-snapshot
An Exact Cutting Plane Method for $k$-submodular Function Maximization
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