Frank Emmert-Streib

Matthias Dehmer

Xueliang Li

Zengqiang Chen

Yongtang Shi

This latest addition to the successful Network Biology series presents current methods for determining the entropy of networks, making it the first to cover the recently established Quantitative Graph Theory. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. The topics range from analyzing mathematical properties of methods right up to applying them in real-life areas. Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists.

Mathematical Foundations and Applications of Graph Entropy

Paul Stevenson

Foam fractionation is a separation process in which proteins and other amphipathic species adsorb to the surface of bubbles. The bubbles are then removed from the solution in the form of foam at the top of a column. Due to its cost-effectiveness, foam fractionation has the potential for rapid commercial growth, especially in biotechnology. To assist in the widespread adoption of this highly affordable yet powerful process, Foam Fractionation: Principles and Process Design: Provides a systematic explanation of the underlying physics of foam fractionation Discusses the fundamentals of molecular adsorption to gas liquid interfaces and the dynamics of foam Describes foam fractionation process intensification strategies Supplies design guidance for plant-scale installations Contains the latest knowledge of foam fractionation transport processes Presents a case study of the world’s largest commercial foam fractionation plant producing the food preservative Nisin Foam Fractionation: Principles and Process Design capitalizes on the authors’ extensive practical experience of foam fractionation and allied processes to give process engineers, industrial designers, chemical engineers, academics, and graduate students alike a greater understanding of the mechanistic basis and real-world applications of foam fractionation.

Principles and Process Design

Foam Fractionation

Foam fractionation is a separation process in which proteins and other amphipathic species adsorb to the surface of bubbles. The bubbles are then removed from the solution in the form of foam at the top of a column. Due to its cost-effectiveness, foam fractionation has the potential for rapid commercial growth, especially in biotechnology.To assist

Yu Wang

Tianqiao Mao

This book is intended as a reference book for advanced graduate students and research engineers in rock mechanics related to mining, civil engineering, etc. Rock mass is a kind of structural dependent material, and it is often exposed to complex stress disturbance, such as environmental and human-induced loading acting on rock that is cyclic in nature. Typical forms of stress disturbance include blasting vibration, earthquake, excavation, drilling and vehicle loading, etc. Usually, the stress disturbance condition is inferred as a kind of dynamic loading and differs dramatically from those under static loads. Along with the constructions on rock mass, a lot of disasters, e.g., tunnel rockburst, induced seismicity and sand liquefaction, are cyclic and dynamic processes. Nevertheless, insufficient attentions have been paid to the influences of rock structure on the dynamic disturbances engineering projects so far. The discrepancy between theoretical prediction (by approximating the dynamic problems as static ones) and actual performance of constructed engineering structures is usually tolerated. As a result, investigation of the cyclic and fatigue loading on rock is always vital to the rational design and the long-term stability prediction of rock constructions.

Rock Mass Structural-Dependent Cyclic and Fatigue Behaviors

Yuefang Sun

Rainbow connections are natural combinatorial measures that are used in applications to secure the transfer of classified information between agencies in communication networks. Rainbow Connections of Graphs covers this new and emerging topic in graph theory and brings together a majority of the results that deal with the concept of rainbow connections, first introduced by Chartrand et al. in 2006. The authors begin with an introduction to rainbow connectedness, rainbow coloring, and rainbow connection number. The work is organized into the following categories, computation of the exact values of the rainbow connection numbers for some special graphs, algorithms and complexity analysis, upper bounds in terms of other graph parameters, rainbow connection for dense and sparse graphs, for some graph classes and graph products, rainbow k-connectivity and k-rainbow index, and, rainbow vertex-connection number. Rainbow Connections of Graphs appeals to researchers and graduate students in the field of graph theory. Conjectures, open problems and questions are given throughout the text with the hope for motivating young graph theorists and graduate students to do further study in this subject.

Rainbow Connections of Graphs

Jin Akiyama

Mikio Kano

William Y.C. Chen

Qinglin Yu

This book constitutes the thoroughly refereed post-proceedings of the 7th China-Japan Conference on Discrete Geometry, Combinatorics and Graph Theory, CJCDGCGT 2005, held in Tianjin, China, as well as in Xi'an, China, in November 2005. The 30 revised full papers address all current issues in discrete algorithmic geometry, combinatorics and graph theory.

Xueliang Li

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