کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4649113 1342442 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Balanced Cayley graphs and balanced planar graphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Balanced Cayley graphs and balanced planar graphs
چکیده انگلیسی

A balanced graph is a bipartite graph with no induced circuit of length 2(mod4). These graphs arise in integer linear programming. We focus on graph-algebraic properties of balanced graphs to prove a complete classification of balanced Cayley graphs on abelian groups. Moreover, in this paper, we prove that there is no cubic balanced planar graph. Finally, some remarkable conjectures for balanced regular graphs are also presented. The graphs in this paper are simple.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 310, Issue 22, 28 November 2010, Pages 3228–3235
نویسندگان
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