TY - GEN
T1 - Network-based dissolution
AU - Van Bevern, René
AU - Bredereck, Robert
AU - Chen, Jiehua
AU - Froese, Vincent
AU - Niedermeier, Rolf
AU - Woeginger, Gerhard J.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We introduce a graph-theoretic dissolution model that applies to a number of redistribution scenarios such as gerrymandering in political districting or work balancing in an online situation. The central aspect of our model is the deletion of certain vertices and the redistribution of their loads to neighboring vertices in a perfectly balanced way. We investigate how the underlying graph structure, the pre-knowledge of which vertices should be deleted, and the relation between old and new vertex loads influence the computational complexity of the underlying graph problems. Our results establish a clear borderline between tractable and intractable cases.
AB - We introduce a graph-theoretic dissolution model that applies to a number of redistribution scenarios such as gerrymandering in political districting or work balancing in an online situation. The central aspect of our model is the deletion of certain vertices and the redistribution of their loads to neighboring vertices in a perfectly balanced way. We investigate how the underlying graph structure, the pre-knowledge of which vertices should be deleted, and the relation between old and new vertex loads influence the computational complexity of the underlying graph problems. Our results establish a clear borderline between tractable and intractable cases.
UR - http://www.scopus.com/inward/record.url?scp=84906240526&partnerID=8YFLogxK
U2 - 10.1007/978-3-662-44465-8_7
DO - 10.1007/978-3-662-44465-8_7
M3 - Conference contribution
AN - SCOPUS:84906240526
SN - 9783662444641
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 69
EP - 80
BT - Mathematical Foundations of Computer Science 2014 - 39th International Symposium, MFCS 2014, Proceedings
PB - Springer Verlag
T2 - 39th International Symposium on Mathematical Foundations of Computer Science, MFCS 2014
Y2 - 25 August 2014 through 29 August 2014
ER -