A note on the total chromatic number of Halin graphs with maximum degree 4

AbstractIn this paper, we prove that χT(G) = 5 for any Halin graph G with Δ(G) = 4, where Δ(G) and χT(G) denote the maximal degree and the total chromatic number of G, respectively

Some properties of Ramsey numbers

AbstractIn this paper, some properties of Ramsey numbers are studied, and the following results are presented. 1.(1) For any positive integers k1, k2, …, km l1, l2, …, lm (m > 1), we have r ∏i=1m ki + 1, ∏i=1m li + 1 ≥ ∏i=1m [ r (ki + 1,li + 1) − 1] + 1.2.(2) For any positive integers k1, k2, …, km, l1, l2, …, ln , we have r ∑i=1m ki + 1, ∑j=1n lj + 1 ≥ ∑i=1m∑j=1n r (ki + 1,lj + 1) − mn + 1. Based on the known results of Ramsey numbers, some results of upper bounds and lower bounds of Ramsey numbers can be directly derived by those properties

Research of the properties of renewable energy sources with battery electrode from new materials

A new type of material is proposed for the electrodes of a storage battery with a high energy density and stable characteristics. The structure and electrochemical properties of the new material are analyzed under two different methods of production. The system of connection to the power system is analyzed, and the energy-saving system for optimization of the output power of renewable energy. The economic benefit of the proposed battery is analyzed. The results show that the energy storage system of the new anode material for the battery is technically and economically justified and can be used to solve a complex energy consumption problem

Genomic regions, cellular components and gene regulatory basis underlying pod length variations in cowpea (V. unguiculata L. Walp).

Cowpea (V. unguiculata L. Walp) is a climate resilient legume crop important for food security. Cultivated cowpea (V. unguiculata L) generally comprises the bushy, short-podded grain cowpea dominant in Africa and the climbing, long-podded vegetable cowpea popular in Asia. How selection has contributed to the diversification of the two types of cowpea remains largely unknown. In the current study, a novel genotyping assay for over 50 000 SNPs was employed to delineate genomic regions governing pod length. Major, minor and epistatic QTLs were identified through QTL mapping. Seventy-two SNPs associated with pod length were detected by genome-wide association studies (GWAS). Population stratification analysis revealed subdivision among a cowpea germplasm collection consisting of 299 accessions, which is consistent with pod length groups. Genomic scan for selective signals suggested that domestication of vegetable cowpea was accompanied by selection of multiple traits including pod length, while the further improvement process was featured by selection of pod length primarily. Pod growth kinetics assay demonstrated that more durable cell proliferation rather than cell elongation or enlargement was the main reason for longer pods. Transcriptomic analysis suggested the involvement of sugar, gibberellin and nutritional signalling in regulation of pod length. This study establishes the basis for map-based cloning of pod length genes in cowpea and for marker-assisted selection of this trait in breeding programmes

Overexpression of Peptide-Encoding OsCEP6.1 Results in Pleiotropic Effects on Growth in Rice (O. sativa)

Plant peptide hormone plays an important role in regulating plant developmental programs via cell-to-cell communication in a non-cell autonomous manner. To characterize the biological relevance of C-TERMINALLY ENCODED PEPTIDE (CEP) genes in rice, we performed a genome-wide search against public databases using bioinformatics approach and identified six additional CEP members. Expression analysis revealed a spatial-temporal pattern of OsCEP6.1 gene in different tissues and at different developmental stages of panicle. Interestingly, the expression level of the OsCEP6.1 was also significantly up-regulated by exogenous cytokinin. Application of a chemically synthesized 15-amino-acid OsCEP6.1 peptide showed that OsCEP6.1 had a negative role in regulating root and seedling growth, which was further confirmed by transgenic lines. Furthermore, the constitutive expression of OsCEP6.1 was sufficient to lead to panicle architecture and grain size variations. Scanning electron microscopy analysis revealed that the phenotypic variation of OsCEP6.1 overexpression lines resulted from decreased cell size but not reduced cell number. Moreover, starch accumulation was not significantly affected. Taken together, these data collectively suggest that the OsCEP6.1 peptide might be involved in regulating the development of panicles and grains in rice

Exploring the effect of stakeholder relationship quality on technological innovation in off-site construction: the mediating role of the knowledge sharing

Off-site construction (OSC) is generally propagated as a sustainable and green construction method in the global construction industry. Over the past few decades, OSC has become famous worldwide for its numerous benefits. Technological innovation can speed up the development of OSC and has attracted a lot of attention from stakeholders who are promoting technological innovation by seeking collaborations. OSC is different from traditional manufacturing, and little effort has been spent on how the stakeholder relationship quality affects technological innovation. This study therefore makes efforts to explore the mechanism of how stakeholder relationship quality influences the OSC technological innovation and to explain the stakeholder relationship quality in terms of communication, trust, and commitment. This paper constructs a multidimensional hypothesis model consisting of five concepts: communication, trust, commitment, knowledge sharing, and technological innovation. A valid sample of 125 was collected through a questionnaire survey in mainland China. The sample data were dealt with and analyzed using partial least squares structural equation modeling (PLSSEM) to validate the proposed hypothesis model. The results reveal that trust and knowledge sharing affect technological innovation directly. Communication and commitment are not identified to have statistically significant influences on technological innovation in OSC. Communication, trust, and commitment positively contribute to knowledge sharing. Last, knowledge sharing completely and partially mediates between relationship quality and technological innovation. This study explores the impact of stakeholder relationship quality on OSC technological innovation and verifies the mediating role of knowledge sharing. These findings provide valuable theoretical guidance for OSC technological innovation and practical insights for stakeholders to promote technological innovation by enhancing relationship quality and knowledge sharing. First published online 13 December 202

In situ synthesis of interlinked three-dimensional graphene foam/polyaniline nanorod supercapacitor

Three-dimensional (3-D) graphene foam/PANI nanorods were fabricated by hydrothermal treatment of graphene oxide (GO) solution and sequentially in-situ synthesis of PANI nanorods on the surface of graphene hydrogel. 3-D graphene foam was used as substrate for the growth of PANI nanorods and it increases the specific surface area as well as the double layer capacitance performance of the graphene foam/PANI nanorod composite. The length of the PANI nanorod is about 340 nm. PANI nanorods exhibited a short stick shape. These PANI nanorods agglomerate together and the growth orientation is anisotropic. The highest specific capacitance of 3-D graphene/PANI nanorod composite electrodes is 352 F g−1 at the scan rate of 10 mV s−1.Institute of Textiles and Clothin