کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626377 1631786 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematical definitions of enclave and exclave, and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Mathematical definitions of enclave and exclave, and applications
چکیده انگلیسی


• 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.

This paper offers mathematical definitions of enclave and exclave using a graph theoretical framework, and gives some applications of the definitions. Some basic properties of enclave and exclave are also verified by using the definitions. Though there are numerous enclaves and exclaves in the world, they have not been analyzed mathematically so far. Giving them mathematical definitions is useful for the problems of political boundaries, e.g. the drawing of the boundaries of single member electoral districts and the economic analysis of political integration.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 268, 1 October 2015, Pages 728–742
نویسندگان
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