supported by the National Natural Science Foundation of China(No.11901268);The Fun-damental Research Funds for the Universities of Liaoning Province(No.LJ212410165065).
For a graph G of order n and a positive integer k,a k-weak cycle partition of G,called k-WCP,is a sequence of vertex disjoint subgraphs H_(1),H_(2),…,H_(k) of G with■_(i=1)^(k),where H_(i) is isomorphic to K_(1),K_(...
supported by the National Natural Science Foundation of China(No.12071260).
For an integer t,where t≥2,letδ_(t)(G)denote the minimum degree sum of an independent set with t vertices in a graph G.We prove that for two integers k,t with k≥3,t≥4,every graph G with|V(G)|≥kt+1.5k+t andδ_(t)...
the Researchers Supporting Project number(RSPD2024R848),King Saud University,Riyadh,Saudi Arabia.
Disjoint sampling is critical for rigorous and unbiased evaluation of state-of-the-art(SOTA)models e.g.,Attention Graph and Vision Transformer.When training,validation,and test sets overlap or share data,it introduces...
supported in part by National Key R&D Program of China(Grant Nos.2022YFA1004900,2022YFA1005000);National Natural Science Foundation of China(Grant No.62272303)。
Locally repairable codes(LRCs),which can recover any symbol of a codeword by reading only a small number of other symbols,have been widely used in real-world distributed storage systems,such as Microsoft Azure Storage...
support from the Ministry of Science and Tech-nology of the:People's Republic of China(Grant No.2021 YFB2600804);the Open Research Project Programme of the State Key Labor atory of Interet of Things for Smart City(University of Macao)(Grant No.SKL-IoTSC(UM)-2021-2023/ORPF/A19/2022);the General Research Fund(GRF)project(Grant No.15214722)from Research Grants Council(RGC)of Hong Kong Special Administrative Re gion Government of China are gratefully acknowledged.
This research developed a hybrid position-channel network (named PCNet) through incorporating newly designed channel and position attention modules into U-Net to alleviate the crack discontinuity problem in channel an...
In this paper,by an approximating argument,we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical Hardy-Sobolev exponents■whereΩis a smooth bounded domain in RN with ...
Direct soil temperature(ST)measurement is time-consuming and costly;thus,the use of simple and cost-effective machine learning(ML)tools is helpful.In this study,ML approaches,including KStar,instance-based K-nearest l...
The existence of several non-symmetric balanced incomplete block designs (BIBDs) is still unknown. This is because the non-existence property for non-symmetric BIBDs is still not known and also the existing constructi...
supported by the National Natural Science Foundation of China(Nos.12071260,11671232)。
A tournament is an orientation of the complete graph.Tournaments form perhaps the most interesting class of digraphs and it has a great potential for application.Tournaments provide a model of the statistical techniqu...