Outer-independent Roman domination on graphs originates from the defensive strategy of Ancient Rome,which is that if any city without an army is attacked,a neighboring city with two armies could mobilize an army to su...
supported by the Sichuan Science and Technology Program(No.2021YJ0385);the Project in Yangtze River Ecological Environment Protection and Restoration(No.2022-LHYJ-02-0509-08).
Dissolved copper and iron ions are regarded as friendly and economic catalysts for peroxymonosulfate(PMS)activation,however,neither Cu(Ⅱ)nor Fe(Ⅲ)shows efficient catalytic performance because of the slow rates of Cu...
supported by The National Social Science Fund of China(Grant No.20CZX050)。
C((t))is the formal Laurent series over the field C of complex numbers.It is a henselian valued field,and its valuation ring,denoted by C[[t]],is the formal power series over C.Let K be any model of Th(C((t)))with OK ...
This paper is a result of the general project of the National Social Science Fund of China(20BZS044):"Research on the Forms of the Song Dynasty,"Tsinghua University Independent Research Project.
By exploring two parts of the concept of Grand Councilor in the Tang and Song dynasties,this paper proposes two ideal types of the monarchical domination in imperial China.Tongdian by Du You and Outstanding Models fro...
Supported by the National Natural Science Foundation of China(Grant No.11551002);The Natural Science Foundation of Qinghai Province(Grant No.2019-ZJ-7093).
The domination problem of graphs is an important issue in the field of graph theory.This paper mainly considers the Italian domination number of the strong product between two paths.By constructing recursive Italian d...
the National Natural Science Foundation of China(No.12061073).
A subset D■V(G)in a graph G is a dominating set if every vertex in V(G)I D is adjacent to at least one vertex of S.A subset S■V(G)in a graph G is a 2-independent set if△(G[S])<2.The 2-independence numberα2(G)is th...
supported by the National Natural Science Foundation of China (Grant Nos. 12175105, 12147175, 12247170, 11575083, and 11565017);the Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (TAPP)。
We revisit the vital issue of gauge dependence in the scalar-induced secondary gravitational waves(SIGWs), focusing on the radiation domination(RD) and matter domination(MD) eras. The energy density spectrum is the ma...
The vision of African unity adopted by the OAU is alive and well,and is being pursued by the AU The Organisation of African Unity(OAU),founded and launched on 25 May 1963,was the highest and the most concentrated expr...
Many graph domination applications can be expanded to achieve complete cototal domination.If every node in a dominating set is regarded as a record server for a PC organization,then each PC affiliated with the organiz...