On the extremal values of the eccentric distance sum of trees with a given maximum degree

2020 ◽  
Vol 284 ◽  
pp. 375-383
Author(s):  
Lianying Miao ◽  
Jingru Pang ◽  
Shoujun Xu
2012 ◽  
Vol 390 (1) ◽  
pp. 99-112 ◽  
Author(s):  
Shuchao Li ◽  
Meng Zhang ◽  
Guihai Yu ◽  
Lihua Feng

Filomat ◽  
2016 ◽  
Vol 30 (11) ◽  
pp. 3123-3130
Author(s):  
Jelena Klisara ◽  
Jana Hurajová ◽  
Tomás Madaras ◽  
Riste Skrekovski

The betweenness centrality of a vertex in a graph is the sum of relative numbers of shortest paths that pass through that vertex. We study extremal values of vertex betweenness within various families of graphs. We prove that, in the family of 2-connected (resp. 3-connected) graphs on n vertices, the maximum betweenness value is reached for the maximum degree vertex of the fan graph F1,n-1 (resp. the wheel graph Wn); the maximum betweenness values, their realizing vertices and extremal graphs are determined also for wider families of graphs of minimum degree at least 2 or 3, respectively, and, in addition, for graphs with prescribed maximum degree or prescribed diameter at least 3.


2017 ◽  
Vol 229 ◽  
pp. 113-120 ◽  
Author(s):  
Lianying Miao ◽  
Shiyou Pang ◽  
Fang Liu ◽  
Eryan Wang ◽  
Xiaoqing Guo

2013 ◽  
Vol 161 (16-17) ◽  
pp. 2427-2439 ◽  
Author(s):  
Xianya Geng ◽  
Shuchao Li ◽  
Meng Zhang

2015 ◽  
Vol 186 ◽  
pp. 199-206 ◽  
Author(s):  
Lianying Miao ◽  
Qianqiu Cao ◽  
Na Cui ◽  
Shiyou Pang

Author(s):  
Halina Bielak ◽  
Katarzyna Wolska

AbstractIn this paper we show bounds for the adjacent eccentric distance sum of graphs in terms of Wiener index, maximum degree and minimum degree. We extend some earlier results of Hua and Yu [Bounds for the Adjacent Eccentric Distance Sum, International Mathematical Forum. Vol. 7 (2O02) no. 26. 1280-1294].The adjaceni eccentric distance sum index of the graph G is defined aswhere ε(υ) is the eccentricity of the vertex υ, deg(υ) is the degree of the vertex υ and D(υ) = ∑


2020 ◽  
Vol 1 (9) ◽  
pp. 28-30
Author(s):  
D. M. Zlatopolski

The article describes a number of little-known methods for translating natural numbers from one number system to another. The first is a method for converting large numbers from the decimal system to the binary system, based on multiple divisions of a given number and all intermediate quotients by 64 (or another number equal to 2n ), followed by writing the last quotient and the resulting remainders in binary form. Then two methods of mutual translation of decimal and binary numbers are described, based on the so-called «Horner scheme». An optimal variant of converting numbers into the binary number system by the method of division by 2 is also given. In conclusion, a fragment of a manuscript from the beginning of the late 16th — early 17th centuries is published with translation into the binary system by the method of highlighting the maximum degree of number 2. Assignments for independent work of students are offered.


2004 ◽  
Vol 4 (1) ◽  
pp. 62-89 ◽  
Author(s):  
Andreas Hoffjan

This study introduces content analysis as a method of examining the accountant's role. The empirical study is based on 73 advertisements, which are directed primarily at employees who are affected by the management accountant's work. The findings of the study indicate that the subject of accountancy is used particularly in connection with promises of “cost reduction.” Consequently, the majority of advertisements use the accountant stereotype of “savings personified.” In a professional context, the work ethic of the management accountant is given particular emphasis in the advertisements. He/she identifies him/herself with his/her task to the maximum degree, is regarded as loyal to his/her company and, for the most part, is well organized in his/her work. However, the characterization of the management accountant as a well disciplined company-person conflicts with the negative portrayal of his/her professional qualities. In advertisements, the management accountant is portrayed as a rather inflexible, passive, and uncreative specialist who, as a result of these qualities, often demotivates others. The personal characteristics of the management accountant are shown in a negative light. This gives him/her the unappealing image of a humorless, envious, dissociated, and ascetic corporate-person.


1995 ◽  
Vol 60 (9) ◽  
pp. 1429-1434
Author(s):  
Martin Breza

Using semiempirical CNDO-UHF method the adiabatic potential surface of 2[Cu(OH)6]4- complexes is investigated. The values of vibration and vibronic constants for Eg - (a1g + eg) vibronic interaction attain extremal values for the optimal O-H distance. The Jahn-Teller distortion decreases with increasing O-H distance. The discrepancy between experimentally observed elongated bipyramid of [Cu(OH)6]4- in Ba2[Cu(OH)6] and the compressed one obtained by quantum-chemical calculation is explainable by hydrogen bonding of the axial hydroxyl group.


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