113學年度第1學期學術專題講座
時間：12/4(三) 14:00~16:00
地點：國立臺南大學府城校區C305
講題：Graphs Associated To Commutative Rings And Their Embeddings
【講者】Hung-Jen ChiangHsieh National Chung Cheng University (國立中正大學應用數學系 江謝宏任 副教授)
abstract of talk
Let R be a commutative ring with identity. We can associate this ring R with various graphs and try to classify rings through their graphical properties.
Forexample: The zero-divisor graph of R, denoted by Γ(R) and the total graph of R, denoted by T (Γ(R)) are two graphs associated to R with vertices on Z(R), the set of all zero-divisors of R; the unite graph of R, denoted by G(R); and the power graph of R, denoted by P (R) are graphs associated to R with vertices on U (R), the set of all units of R.
In topological graph theory, there are two kind of embedding for graphs. One is the 2-cell embedding, another is the so-called book embedding. In this talk, I will discuss these two embeddings for the graphs associated to a finite commutative ring and do some classifications.
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