کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599341 | 1631130 | 2015 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A characterization of graphs G with nullity |V(G)|−2m(G)+2c(G)|V(G)|−2m(G)+2c(G)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A characterization of graphs G with nullity |V(G)|−2m(G)+2c(G)|V(G)|−2m(G)+2c(G) A characterization of graphs G with nullity |V(G)|−2m(G)+2c(G)|V(G)|−2m(G)+2c(G)](/preview/png/4599341.png)
چکیده انگلیسی
By |V(G)||V(G)|, |E(G)||E(G)|, η(G)η(G), and m(G)m(G) we denote respectively the order, the number of edges, the nullity, and the matching number of a (simple) graph G. Recently Wang and Wong have proved that for every graph G , η(G)≤|V(G)|−2m(G)+2c(G)η(G)≤|V(G)|−2m(G)+2c(G), where c(G)=|E(G)|−|V(G)|+θ(G)c(G)=|E(G)|−|V(G)|+θ(G), θ(G)θ(G) being the number of connected components of G. In this paper graphs G that satisfy the equality η(G)=|V(G)|−2m(G)+2c(G)η(G)=|V(G)|−2m(G)+2c(G) are characterized.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 465, 15 January 2015, Pages 363–375
Journal: Linear Algebra and its Applications - Volume 465, 15 January 2015, Pages 363–375
نویسندگان
Ya-zhi Song, Xiao-qiu Song, Bit-Shun Tam,