کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646962 | 1342320 | 2015 | 4 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nowhere-zero 3-flows in semistrong product of graphs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let G and H be two graphs. The semistrong product G
- H is the graph with vertex set V(G
- H)=V(G)ÃV(H) and edge set E(G
- H)={(u1,v1)(u2,v2)|u1u2âE(G)  and v1v2âE(H)  or u1=u2  and v1v2âE(H)}. It is proved in this paper that if G and H are two nontrivial connected simple graphs, then G
- H admits a nowhere-zero 3-flow. This result extends the study of nowhere-zero flows on product graphs by Imrich and Å krekovski, by Shu and Zhang, by Rollová and Å koviera, and by others.
- H is the graph with vertex set V(G
- H)=V(G)ÃV(H) and edge set E(G
- H)={(u1,v1)(u2,v2)|u1u2âE(G)  and v1v2âE(H)  or u1=u2  and v1v2âE(H)}. It is proved in this paper that if G and H are two nontrivial connected simple graphs, then G
- H admits a nowhere-zero 3-flow. This result extends the study of nowhere-zero flows on product graphs by Imrich and Å krekovski, by Shu and Zhang, by Rollová and Å koviera, and by others.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 12, 6 December 2015, Pages 2408-2411
Journal: Discrete Mathematics - Volume 338, Issue 12, 6 December 2015, Pages 2408-2411
نویسندگان
Xiangwen Li, Xiaoxia Zhang,