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All edge critical graph coloring A Note


Distinguishing total coloring of [J]. Science in China (A Series), 2004,34 (5) :574-583. [3] FARONO, LIH, SCHELPRH. StrongEdgeColoringsofGraphs [J]. DiscreteMath ,1996,159:103-109. [4] BALISTERPN, BOLLOASB,[link widoczny dla zalogowanych], SCHELPRH. VertexDistinguishColoringsofGraphswith △ (G) = 2 [J]. DiscreteMath ,2002.252:17-29. [5] Ouyang Zhi, ZHANG Zhong-fu, Jianxun. Full color critical graphs [J], Journal of Lanzhou University (Natural Science), 1991,27 (2) :14-18. 28 No. 5, Taiyuan University of Science and Technology Vo1.28No. 52007 on October JOURNALOFTAIYUANUNIVERSITYOFSCIENCEANDTECHNOLOGYOct. Article ID :1673-2007, 2057 (2007) 05-0363-03 be interpreted in different selection of variables in determining the impact of system several feet 2,[link widoczny dla zalogowanych], Yan Xu Xue, Li Buxi (1. Shanxi University of Finance and Department of Applied Mathematics, Taiyuan 030006; 2. Shanxi University,[link widoczny dla zalogowanych], Taiyuan 030006) Abstract: Consider a linear regression model to explain the different variables were selected on the impact of the coefficient of determination, under certain conditions, proved to be explanatory variables in different regression models there is a specific relationship between the coefficient of determination. Key words: linear regression model; be interpreted variable selection; determination coefficient CLC: F224.0 Document code: A number of economic or management in the statistics, a factor often encountered, or a number of interrelated factors affect both Several indicators, a natural question is that this factor or whether this number of factors which determine the indicators and targets will be through the influence of various factors associated with transmission to other indicators. Regression analysis is a wide range of applications the number of statistical methods,[link widoczny dla zalogowanych], mainly for the analysis of statistical relationships between things, focusing on the variation between the study variables, and by the regression equation in the form of description and reflection of this relationship, an accurate grasp of the variable by one or more other variables impact. Regression equation fit test is the test sample data points clustered around the regression line intensity. Regression equation to evaluate level of representation of sample data. Goodness of fit test that the explanatory variables have different values at different values of the explanatory variables and other random factors. Since the regression equation reflects the different values of the explanatory variables change on the linear explanatory variables were studied, so when the regression sum of squares (SSA) in the total sum of squares,[link widoczny dla zalogowanych], and (SST) higher proportion of the regression equation goodness of fit will be high. As the sample regression coefficient of determination of goodness of fit of the data indicators, is affected by many factors, such as the characteristics of the sample data, the model set by such factors as the choice of explanatory variables ¨ j. In the case of identical explanatory variables, the choice of explanatory variables is different from the coefficient of determination may be different. Received ~ 2007-04-20 Author: Xu Xue-Yan (1963 a), female, associate professor, research direction for the probability theory and mathematical statistics. Qu 'ANoteontheTotal · colourableEdgeCriticalGraphFANQing-ju, YANGAi-min (SchoolofMathematicalSciences, ShanxiUniversity, Taiyuan030006, China) Abstract: Weinvestigatedconstructionofthetotal-colorableedgecriticalgraph. If Ⅱ ∈ V (G), d (Ⅱ) = 3, Ⅱ. ∈ E (G) (i = 1,2,3), thenA a 1 ≤ d () ≤ A, whereGisatotal · colourableedgecriticalgraph, A (G) isthemax · imumdegreeofGand △ (G) ≥ 5. Keywords: graph, vertex, edge, totalcolouring, criticalgraph

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