کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6426007 1345409 2012 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cycle decompositions: From graphs to continua
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Cycle decompositions: From graphs to continua
چکیده انگلیسی

We generalise a fundamental graph-theoretical fact, stating that every element of the cycle space of a graph is a sum of edge-disjoint cycles, to arbitrary continua. To achieve this we replace graph cycles by topological circles, and replace the cycle space of a graph by a new homology group for continua which is a quotient of the first singular homology group H1. This homology seems to be particularly apt for studying spaces with infinitely generated H1, e.g. infinite graphs or fractals.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 229, Issue 2, 30 January 2012, Pages 935-967
نویسندگان
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