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On the Sum of Laplacian Eigenvalues of Graphs

Haemers, Willem H. - 2008

Let k be a natural number and let G be a graph with at least k vertices. A.E. Brouwer conjectured that the sum of the k largest Laplacian eigenvalues of G is at most e(G) (k choose 2), where e(G) is the number of edges of G. We prove this conjecture for k = 2. We also show that if G is a tree,...

Persistent link: https://www.econbiz.de/10012722415

Asymptotic Results on the Spectral Radius and the Diameter of Graphs

Cioaba, Sebastian - 2008

We study graphs with spectral radius at most $\frac{3}{2}\sqrt{2}$ and refine results by Woo and Neumaier [On graphs whose spectral radius is bounded by $\frac{3}{2}\sqrt{2}$, Graphs Combinatorics 23 (2007), 713-726]. We study the limit points of the spectral radii of certain families of graphs,...

Persistent link: https://www.econbiz.de/10012723278

Foundations of the economic and social history of the United States: Empirical

Albers, Scott - Volkswirtschaftliche Fakultät, … - 2013

I argue that a form of consciousness may be found in American economic history, one which is both mathematically demonstrable and important. In this book I present a model of economic and political growth based upon systematic addition. We begin with a philosophic model of trade (pp. 34-46);...

Persistent link: https://www.econbiz.de/10011259667

Predicting crises: Five essays on the mathematic prediction of economic and social crises

Albers, Scott - Volkswirtschaftliche Fakultät, … - 2012

This volume – Predicting Crisis: Five Essays on the Mathematic Prediction of Economic and Social Crises – is the first of three sets of essays. In this first set the economic and social history of the United States is shown to be a “system of movement,” i.e. a logical and mathematic...

Persistent link: https://www.econbiz.de/10011260672

Mathematics for Economics

Hoy, Michael; Livernois, John; McKenna, Chris; Rees, Ray; … - The MIT Press

This text offers a comprehensive presentation of the mathematics required to tackle problems in economic analyses. To … give a better understanding of the mathematical concepts, the text follows the logic of the development of mathematics … mathematics needed for undergraduate economics. It is also a useful reference for graduate students. After a review of the …

Persistent link: https://www.econbiz.de/10008919686

Foundations of the economic and social history of the United States: Metaphysical

Albers, Scott - Volkswirtschaftliche Fakultät, … - 2013

"Oppositional Analysis" - the name I give to the metaphysics presented in this volume - proposes a number of dichotomies through which one may analyze and understand systematically the structure of every level of reality. Macroeconomic theory, as well as social research, are two excellent stages...

Persistent link: https://www.econbiz.de/10011258411

Come back Marshall, all is forgiven? : complexity, evolution, mathematics and Marshallian exceptionalism

Hodgson, Geoffrey M. - In: The European journal of the history of economic thought 20 (2013) 6, pp. 957-981

Persistent link: https://www.econbiz.de/10010258566

Effect of class size on girls' academic performance in science, mathematics and technology subjects

Musau, Lydia M.; Migosi, Joash Abere - In: International journal of education economics and development 4 (2013) 3, pp. 278-288

Persistent link: https://www.econbiz.de/10010250332

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First-year study success in economics and econometrics : the role of gender, motivation, and math skills

Arnold, Ivo J. M.; Rowaan, Wietske - In: The journal of economic education 45 (2014) 1, pp. 25-35

Persistent link: https://www.econbiz.de/10010489730

Mathematics and economics : the case of Menger

Mensik, Josef - In: The journal of economic methodology 22 (2015) 4, pp. 479-490

Persistent link: https://www.econbiz.de/10011451977

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