supported by the National Natural Science Foundation of China(No.12071351,11571258).
A majority coloring of a directed graph is a vertex-coloring in which every vertex has the same color as at most half of its out-neighbors.Kreutzer et al.conjectured that every digraph is majority 3-colorable.For an i...
Novel green ceramic pigments Y_(3)Ga_(3)MgSiO_(12)∶xCr^(3+)(x=0−0.2)were successfully synthesized via the conventional solid-state approach.The properties of the pigments were studied by XRD,FE-SEM,UV-Vis spectroscop...
Supported by the National Natural Science Foundation of China(12161073)。
A Gallai k-coloring is a k-edge-coloring of a complete graph in which there are no rainbow triangles.For given graphs G_(1),G_(2),G_(3)and nonnegative integers r,s,t with k=r+s+t,the k-colored Gallai-Ramsey number grk...
supported by Natural Science Foundation of Xinjiang Uygur Autonomous Region of China“Spanning connectivity and supereulerian properties of graphs”(2022D01C410).
For positive integers k and r,a(k,r)-coloring of graph G is a proper vertex k-coloring of G such that the neighbors of any vertex v∈V(G)receive at least min{d_(G)(v),r}different colors.The r-hued chromatic number of ...
supported by NSFC(Grant Nos.12171436 and 12371360);supported by NSFC(Grant No.12031018);NSFSD(Grant No.ZR2022MA060)。
A cover of a graph G is a graph H with vertex set V(H)=∪_(v∈V(G))L_(v),where L_(v)={v}×[s],and the edge set M=∪_(uv∈E(G))M_(uv),where Muv is a matching between L_(u) and L_(v).A vertex set T⊆V(H)is a transversal ...
support provided by the National Natural Science Foundation of China(22108297);the Science and Technol ogy Innovation Key Project of Sinolight Corporation(ZQ2021YY05);the National Key Research and Development Program(2020YFE0203800).
Leather dyeing is a critical step in leather manufacturing,as it is responsible for providing leather products with an eye-catching visual aspect and adequate quality properties to meet customers'expectations.This ste...
Footwear industries generate leather waste during the operation.Some of these wastes contain chromium,which may bring environmental concerns.This study aimed to reuse finished leather waste,the major part of these haz...
Lexical meaning mainly includes rational meaning,grammatical meaning,and coloring meaning.Mastering the coloring meaning of vocabulary is of great significance for foreign students to use Chinese vocabulary correctly....
supported by the National Natural Science Foundation of China (No.11871377)。
A coloring of graph G is an injective coloring if its restriction to the neighborhood of any vertex is injective, which means that any two vertices get different colors if they have a common neighbor. The injective ch...
supported by grants from the Major Innovation Project of Shandong Province(2022CXGC010605);the National Natural Science Foundation of China(32002023 and 32172518);the Regional Joint Key Innovation Project of NSFC(U22A20491);Shaanxi Key R&D Plan Project(2023-ZDLNY-21).
Teinturier grapes are characterized by the typical accumulation of anthocyanins in grape skin,flesh,and vegetative tissues,endowing them with high utility value in red wine blending and nutrient-enriched foods develop...