Supported by the Open Research Fund of Hubei Key Laboratory of Mathematical Sciences(Central China Normal University);the Natural Science Foundation of Anhui Province(Grant No.2008085QA01);the University Natural Science Research Project of Anhui Province(Grant No.KJ2019A0107)。
In this paper,we mainly study the structure of bi-Jordan n-derivations in triangular rings under conditions of maximal quotient rings and faithful bimodules,respectively.It is shown that every bi-Jordan n-derivation c...
Supported by the National Natural Science Foundation of China(Grant No.11971180);the Natural Science Foundation of Guangdong Provine(Grant No.2019A1515012052);the Characteristic Innovation Project of General Colleges and Universities in Guangdong Province(Grant No.2022KTSCX225);the Guangdong Education and Scientific Research Project(Grant No.2021GXJK159)。
Topological indices are a class of numerical invariants that can be used to predict the physicochemical properties of compounds and are widely used in quantum chemistry,molecular biology and other research field.For a...
Supported by the Foundation of Henan Department of Science and Technology(Grant No.182102310830);the Foundation of Henan University of Engineering(Grant No.D2016018);the Foundation of Henan Educational Committee(Grant Nos.20A110016;2020GGJS239)。
For a graph G,the first leap Zagreb index is defined as LM_(1)(G)=∑_(ν∈V(G))d_(2)(v/G)^(2),where d_(2)(v/G) is the 2-distance degree of a vertex v in G.Let QT^(k)(n) be the set of kgeneralized quasi-trees with n ve...
Supported by the National Natural Science Foundation of China(Grant No.11171250)
For a multiobjective bilevel programnfing problem (P) with an extremal-value function, its dual problem is constructed by using the Fenchel-Moreau conjugate of the functions involved. Under some convexity and monoto...