کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4651265 | 1342529 | 2006 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bounds on the forcing numbers of bipartite graphs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G . In this paper, we demonstrate several techniques to produce upper bounds on the forcing number of bipartite graphs. We present a simple method of showing that the maximum forcing number on the 2m×2n2m×2n rectangle is mn , and show that the maximum forcing number on the 2m×2n2m×2n torus is also mn. Further, we investigate the lower bounds on the forcing number and determine the conditions under which a previously formulated lower bound is sharp; we provide an example of a family of graphs for which it is arbitrarily weak.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 306, Issue 1, 28 January 2006, Pages 66–73
Journal: Discrete Mathematics - Volume 306, Issue 1, 28 January 2006, Pages 66–73
نویسندگان
Seth Kleinerman,