Carvalho, Lucchesi and Murty proved that any 1-extendable graph G different from K2 and C2n has at least A(G) edge-disjoint removable ears, and any brick G distinct from K4 and C6 has at least A(G) - 2 removable e...Carvalho, Lucchesi and Murty proved that any 1-extendable graph G different from K2 and C2n has at least A(G) edge-disjoint removable ears, and any brick G distinct from K4 and C6 has at least A(G) - 2 removable edges, where A(G) denotes the maximum degree of G. In this paper, we improve the lower bounds for numbers of removable ears and removable edges of 1-extendable graphs. It is proved that any 1-extendable graph G different from K2 and C2n has at least x′(G) edge-disjoint removable ears, and any brick G distinct from Ka and Ce has at least x′(G) - 2 removable edges, where x′(G) denotes the edge-chromatic number of G. Key words 1-extendable graphs, removable ear, removable edge.展开更多
探讨了通过优化参数和构建高效本地知识库来提升深度求索R1(DeepSeek-R1)性能的方法。研究验证了温度自适应策略及其他核心参数微调机制的有效性,显著提高了生成文本的质量与响应速度,并增强了输出内容的多样性和准确性。详细描述了如...探讨了通过优化参数和构建高效本地知识库来提升深度求索R1(DeepSeek-R1)性能的方法。研究验证了温度自适应策略及其他核心参数微调机制的有效性,显著提高了生成文本的质量与响应速度,并增强了输出内容的多样性和准确性。详细描述了如何利用樱桃工作室(Cherry Studio)进行知识库搭建,包括基于Pro/北京人工智能研究院(Beijing Academy of Artificial Intelligence,BAAI)/BAAI通用嵌入模型3(BAAI General Embedding Model 3,BGE-M3)的内容管理、技术实现及安全性保障等方面。此外,还提出了针对不同应用场景的参数组合建议。未来工作将集中在负载管理优化、精细化参数调整、多模态支持等领域。展开更多
基金supported by the National Science Foundation of China under Grant No.10831001the Fujian Provincial Department of Education under Grant No.JA08223
文摘Carvalho, Lucchesi and Murty proved that any 1-extendable graph G different from K2 and C2n has at least A(G) edge-disjoint removable ears, and any brick G distinct from K4 and C6 has at least A(G) - 2 removable edges, where A(G) denotes the maximum degree of G. In this paper, we improve the lower bounds for numbers of removable ears and removable edges of 1-extendable graphs. It is proved that any 1-extendable graph G different from K2 and C2n has at least x′(G) edge-disjoint removable ears, and any brick G distinct from Ka and Ce has at least x′(G) - 2 removable edges, where x′(G) denotes the edge-chromatic number of G. Key words 1-extendable graphs, removable ear, removable edge.
文摘探讨了通过优化参数和构建高效本地知识库来提升深度求索R1(DeepSeek-R1)性能的方法。研究验证了温度自适应策略及其他核心参数微调机制的有效性,显著提高了生成文本的质量与响应速度,并增强了输出内容的多样性和准确性。详细描述了如何利用樱桃工作室(Cherry Studio)进行知识库搭建,包括基于Pro/北京人工智能研究院(Beijing Academy of Artificial Intelligence,BAAI)/BAAI通用嵌入模型3(BAAI General Embedding Model 3,BGE-M3)的内容管理、技术实现及安全性保障等方面。此外,还提出了针对不同应用场景的参数组合建议。未来工作将集中在负载管理优化、精细化参数调整、多模态支持等领域。