The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey. They conjectured that every graph G can be incidence colored with Δ (G) +2 colors. In this paper, the trueness of this co...The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey. They conjectured that every graph G can be incidence colored with Δ (G) +2 colors. In this paper, the trueness of this conjecture for complete k partite graph was proved, and the incidence chromatic number of complete k partite graphs was calculated.展开更多
为从根本上改善最小断点集(minimum break point set,MBPS)适应系统结构非预设性变化的水平,提出多区域复杂环网最小断点集求取及更新算法。在静态网络拓扑情况下,利用保护关联矩阵并行计算各子区域的最小断点集,在此基础上,优化计算主...为从根本上改善最小断点集(minimum break point set,MBPS)适应系统结构非预设性变化的水平,提出多区域复杂环网最小断点集求取及更新算法。在静态网络拓扑情况下,利用保护关联矩阵并行计算各子区域的最小断点集,在此基础上,优化计算主区域的最小断点集,并据此确定全网最小断点集。在网络变结构的情况下,基于广义断点集提出单区域最小断点集更新方案,并将其推广至多区域网络,在主区域、子区域及单线路联络节点发生变结构情况下,快速更新最小断点集。典型的5区域68节点系统计算结果表明:该方法在最小断点集求取方面,不但能够保证全网断点数目合理,还能提高最小断点集的计算速度;在最小断点集更新方面,该方法仅需处理变结构所关联区域的最小断点集,即可实现全网最小断点集更新,有效地降低了复杂环网最小断点集更新的复杂性,计算量小,适用于多种网络变结构情况。展开更多
The main goal of this research is to assess the impact of race, age at diagnosis, sex, and phenotype on the incidence and survivability of acute lymphocytic leukemia (ALL) among patients in the United States. By takin...The main goal of this research is to assess the impact of race, age at diagnosis, sex, and phenotype on the incidence and survivability of acute lymphocytic leukemia (ALL) among patients in the United States. By taking these factors into account, the study aims to explore how existing cancer registry data can aid in the early detection and effective treatment of ALL in patients. Our hypothesis was that statistically significant correlations exist between race, age at which patients were diagnosed, sex, and phenotype of the ALL patients, and their rate of incidence and survivability data were evaluated using SEER*Stat statistical software from National Cancer Institute. Analysis of the incidence data revealed that a higher prevalence of ALL was among the Caucasian population. The majority of ALL cases (59%) occurred in patients aged between 0 to 19 years at the time of diagnosis, and 56% of the affected individuals were male. The B-cell phenotype was predominantly associated with ALL cases (73%). When analyzing survivability data, it was observed that the 5-year survival rates slightly exceeded the 10-year survival rates for the respective demographics. Survivability rates of African Americans patients were the lowest compared to Caucasian, Asian, Pacific Islanders, Alaskan Native, Native Americans and others. Survivability rates progressively decreased for older patients. Moreover, this study investigated the typical treatment methods applied to ALL patients, mainly comprising chemotherapy, with occasional supplementation of radiation therapy as required. The study demonstrated the considerable efficacy of chemotherapy in enhancing patients’ chances of survival, while those who remained untreated faced a less favorable prognosis from the disease. Although a significant amount of data and information exists, this study can help doctors in the future by diagnosing patients with certain characteristics. It will further assist the health care professionals in screening potential patients and early detection of case展开更多
文摘The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey. They conjectured that every graph G can be incidence colored with Δ (G) +2 colors. In this paper, the trueness of this conjecture for complete k partite graph was proved, and the incidence chromatic number of complete k partite graphs was calculated.
文摘为从根本上改善最小断点集(minimum break point set,MBPS)适应系统结构非预设性变化的水平,提出多区域复杂环网最小断点集求取及更新算法。在静态网络拓扑情况下,利用保护关联矩阵并行计算各子区域的最小断点集,在此基础上,优化计算主区域的最小断点集,并据此确定全网最小断点集。在网络变结构的情况下,基于广义断点集提出单区域最小断点集更新方案,并将其推广至多区域网络,在主区域、子区域及单线路联络节点发生变结构情况下,快速更新最小断点集。典型的5区域68节点系统计算结果表明:该方法在最小断点集求取方面,不但能够保证全网断点数目合理,还能提高最小断点集的计算速度;在最小断点集更新方面,该方法仅需处理变结构所关联区域的最小断点集,即可实现全网最小断点集更新,有效地降低了复杂环网最小断点集更新的复杂性,计算量小,适用于多种网络变结构情况。
文摘The main goal of this research is to assess the impact of race, age at diagnosis, sex, and phenotype on the incidence and survivability of acute lymphocytic leukemia (ALL) among patients in the United States. By taking these factors into account, the study aims to explore how existing cancer registry data can aid in the early detection and effective treatment of ALL in patients. Our hypothesis was that statistically significant correlations exist between race, age at which patients were diagnosed, sex, and phenotype of the ALL patients, and their rate of incidence and survivability data were evaluated using SEER*Stat statistical software from National Cancer Institute. Analysis of the incidence data revealed that a higher prevalence of ALL was among the Caucasian population. The majority of ALL cases (59%) occurred in patients aged between 0 to 19 years at the time of diagnosis, and 56% of the affected individuals were male. The B-cell phenotype was predominantly associated with ALL cases (73%). When analyzing survivability data, it was observed that the 5-year survival rates slightly exceeded the 10-year survival rates for the respective demographics. Survivability rates of African Americans patients were the lowest compared to Caucasian, Asian, Pacific Islanders, Alaskan Native, Native Americans and others. Survivability rates progressively decreased for older patients. Moreover, this study investigated the typical treatment methods applied to ALL patients, mainly comprising chemotherapy, with occasional supplementation of radiation therapy as required. The study demonstrated the considerable efficacy of chemotherapy in enhancing patients’ chances of survival, while those who remained untreated faced a less favorable prognosis from the disease. Although a significant amount of data and information exists, this study can help doctors in the future by diagnosing patients with certain characteristics. It will further assist the health care professionals in screening potential patients and early detection of case
