scholarly journals The topological period-index problem over $8$-complexes, II

2020 ◽  
Vol 148 (10) ◽  
pp. 4531-4545
Author(s):  
Xing Gu
Keyword(s):  
Index Problem

scholarly journals The topological period–index problem over 8‐complexes, I

2019 ◽  
Vol 12 (4) ◽  
pp. 1368-1395 ◽  
Author(s):  
Xing Gu
Keyword(s):  
Index Problem

scholarly journals The inverse Wiener polarity index problem for chemical trees

PLoS ONE ◽  
2018 ◽  
Vol 13 (5) ◽  
pp. e0197142 ◽  
Author(s):  
Zhibin Du ◽  
Akbar Ali
Keyword(s):  
Polarity Index ◽  
Index Problem ◽  
Chemical Trees

scholarly journals O Problema do Poder Efetivo na Câmara dos Deputados

2021 ◽  
Author(s):  
Renan Barbosa de Morais ◽  
Mário César San Felice ◽  
Pedro Henrique Del Bianco Hokama ◽  
Gabriel Ávila Casalecchi
Keyword(s):  
Game Theory ◽  
Empirical Research ◽  
Power Index ◽  
Political Representation ◽  
Political Process ◽  
Mathematical Concept ◽  
The Political ◽  
Effective Power ◽  
The One ◽  
Index Problem

Proportionality in political representation is an essential theme forrepresentative democracy. In Brazil, this debate appears in the contextof non-proportionality between a federative unit’s populationsize and its number of representatives in the Chamber of Deputies.In other words, the number of deputies in a state is not proportionalto its number of inhabitants, which violates the "one man, one vote"principle.Discussions around this disproportionality have motivated scholarsto develop empirical research that aims to identify the causesand consequences of the phenomenon and to analyze the impactthat the rule introduces in the political process. This article seeksto contribute to this debate by measuring the effective power ofeach Brazilian federation’s entity and proposing alternatives ofdistribution for the Brazilian Chamber of Deputies.To this end, we use a mathematical concept from game theory,called Power Index, which allows quantifying the existing representationaldiscrepancies. After evaluating several distributions, wesolved the Inverse Power Index Problem (IPIP) to obtain a distributionof chairs that reduces such disparities. To solve the IPIP, whichis computationally hard, we use an evolutionary heuristic. As anobjective function to minimize the discrepancy, we use the linearShapley rule, in which the power index of each state is proportionalto its population.

On the extended Clark-Wormold Hamiltonian-like index problem

2022 ◽  
Vol 345 (4) ◽  
pp. 112745
Author(s):  
Lan Lei ◽  
Wei Xiong ◽  
Yikang Xie ◽  
Mingquan Zhan ◽  
Hong-Jian Lai
Keyword(s):  
Index Problem

scholarly journals An Efficient Algorithm for the 1D Total Visibility-Index Problem and Its Parallelization

2018 ◽  
Vol 23 ◽  
pp. 1-23
Author(s):  
Peyman Afshani ◽  
Mark De Berg ◽  
Henri Casanova ◽  
Ben Karsin ◽  
Colin Lambrechts ◽  
...  
Keyword(s):  
Efficient Algorithm ◽  
Visibility Index ◽  
Index Problem
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