Mathematical definitions of enclave and exclave, and applications

作者：

Highlights：

• We presented mathematical definitions of enclave and exclave.

• We presented mathematical properties of enclave and exclave.

• We showed applications of the definitions to the problems of political boundaries.

摘要

•We presented mathematical definitions of enclave and exclave.•We presented mathematical properties of enclave and exclave.•We showed applications of the definitions to the problems of political boundaries.

论文关键词：Enclave,Exclave,Graph theory,Districting,Voting game

论文评审过程：Received 5 March 2015, Revised 23 June 2015, Accepted 26 June 2015, Available online 17 July 2015, Version of Record 17 July 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.06.114