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Applications of Group Theory to Combinatorics contains 11 survey
papers from international experts in combinatorics, group theory
and combinatorial topology. The contributions cover topics from
quite a diverse spectrum, such as design theory, Belyi functions,
group theory, transitive graphs, regular maps, and Hurwitz
problems, and present the state-of-the-art in these areas.
Applications of Group Theory to Combinatorics will be useful in the
study of graphs, maps and polytopes having maximal symmetry, and is
aimed at researchers in the areas of group theory and
combinatorics, graduate students in mathematics, and other
specialists who use group theory and combinatorics. Jack Koolen
teaches at the Department of Mathematics at Pohang University of
Science and Technology, Korea. His main research interests include
the interaction of geometry, linear algebra and combinatorics, on
which he published 60 papers. Jin Ho Kwak is Professor at the
Department of Mathematics at Pohang University of Science and
Technology, Korea, where he is director of the Combinatorial and
Computational Mathematics Center (Com2MaC). He works on
combinatorial topology, mainly on covering enumeration related to
Hurwitz problems and regular maps on surfaces, and published more
than 100 papers in these areas. Ming-Yao Xu is Professor in
Department of Mathematics at Peking University, China. The focus in
his research is in finite group theory and algebraic graph theory.
Ming-Yao Xu published over 80 papers on these topics.
Discovery of one-dimensional material carbon nanotubes in 1991 by
the Japanese physicist Dr. Sumio Iijima has resulted in voluminous
research in the field of carbon nanotubes for numerous
applications, including possible replacement of silicon used in the
fabrication of CMOS chips. One interesting feature of carbon
nanotubes is that these can be metallic or semiconducting with a
bandgap depending on their diameter. In search of non-classical
devices and related technologies, both carbon nanotube-based
field-effect transistors and metallic carbon nanotube interconnects
are being explored extensively for emerging logic devices and very
large-scale integration. Although various models for carbon
nanotube-based transistors and interconnects have been proposed in
the literature, an integrated approach to make them compatible with
the present simulators is yet to be achieved. This book makes an
attempt in this direction for the carbon-based electronics through
fundamentals of solid-state physics and devices.
Dam Failure Mechanisms and Risk Assessment introduces the causes,
processes and consequences of dam failures as well as risk
assessment and decision methodologies for dam failure emergency
management. It begins with a physical understanding of two most
common failure mechanisms: internal erosion and overtopping
erosion. Such understanding is substantiated by presenting the
updated statistics of failures of large dams and landslide dams
based on the most recent dam-failure databases compiled by the
authors. The last version of statistics of dam failures was
presented by the International Commission on Large Dams in 1995.
Subsequently, methods for determining dam breaching parameters such
as breach geometry and peak flow rate and analyzing the dam
breaching flood routing in the downstream river are presented.
Afterwards, how the human, property and environment elements in the
flooded zones are vulnerable to the dam-breaching floods are
assessed and the associated risks assessed quantitatively. Finally
methodologies for optimal decision making under uncertainty for
risk mitigation are described.
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