تعميم لمتعددتي حدود شولتز وشولتز المعدلة
Generalization for Polynomials Schultz and Modified Schultz
- الباحث
- إسراء عدنان نجم النعيمي
- المشرف
- أحمد محمد علي الدباغ
- الجامعة
- جامعة الموصل
- الكلية / القسم
- كلية علوم الحاسوب والرياضيات / الرياضيات
- الشهادة
- ماجستير
- السنة
- 2023
- لغة الرسالة
- انكليزي
- الكلمات المفتاحية
- Schultz Polynomial ; Modified Schultz ; Graph Theory ; Topological Indices
Abstract
The aim of this thesis is give a generalization of the Schultz and modified Schultz distances, which through both, it can be defined as: 1. A generalized Schultz polynomial of the following form: GSc(G; x) = ∑ Sd(G, k) k≥1 xk, where Sd(G, k) is a sum for summation degrees of all vertices which lies on a path between any two vertices u and v, for all u, v ∈V(G) such that dGS(u, v) = minQ[{∑ degw w∈V(Q) }l(Q)]. 2. A generalized modified Schultz polynomial of the following form: GSc∗(G; x) = ∑ Sd ∗(G, k) k≥1 xk, where Sd ∗(G, k) is a sum for multiply degrees of all vertices which lies on a path Q between any two vertices u and v , for all u, v ∈V(G) such that dGS∗(u, v) = minQ[{∏ degw w∈V(Q) }l(Q)], as the minimum function for both of them is taken for each path Q between u and v, and degw is the degree of a vertex w, and l(Q) = k represents the length of the path under the condition of the minimum function. This thesis also aims to provide definitions of the Schultz and modified Schultz indices with respect to generalize of Schultz and modified Schultz distances and their average, and we find the Schultz and modified Schultz polynomials with respect to this generalize for many special graph with giving relationships and properties between them and other polynomials.
طلب نسخة من الملف
الملفات غير منشورة على الموقع. اترك بياناتك وسيتواصل معك موظفو قسم الشؤون الثقافية والفنون لإرسال النسخة مجاناً.