Minimum decomposition into convex binary matrices

DOI10.1016/j.dam.2012.01.013zbMath1238.92020OpenAlexW2092346656MaRDI QIDQ423930

Fethi Jarray, Christophe Picouleau

Publication date: 30 May 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2012.01.013

zbMATH Keywords

NP-completematrix decompositionintensity modulated radiation therapyconvex polyomino

Mathematics Subject Classification ID

Applications of graph theory (05C90) Medical applications (general) (92C50) Special matrices (15B99)

Cites Work

• Inverse radiation therapy planning -- a multiple objective optimization approach
• Beam selection in radiotherapy design
• Decomposition of integer matrices and multileaf collimator sequencing
• A New Linear Programming Approach to Radiation Therapy Treatment Planning Problems
• Reconstruction of L-convex Polyominoes
• The NP-Completeness of Edge-Coloring
• Minimizing beam-on time in cancer radiation treatment using multileaf collimators
• A network flow algorithm to minimize beam‐on time for unconstrained multileaf collimator problems in cancer radiation therapy
• Optimizing the Delivery of Radiation Therapy to Cancer Patients
• Mathematical optimization in intensity modulated radiation therapy

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