This book is about graph energy. The authors have included many of the important results on graph energy, such as the complete solution to the conjecture on maximal energy of unicyclic graphs, the Wagner-Heuberger's result on the energy of trees, the energy of random graphsor the approach to energy using singular values. It contains an extensive coverage of recent results and a gradual development of topics and the inclusion of complete proofs from most of the important recent results in the area. The latter fact makes it a valuable reference for researchers looking to get into the field of graph energy, further stimulating it with occasional inclusion of open problems. The book provides a comprehensive survey of all results and common proof methods obtained in this field with an extensive reference section. The book is aimed mainly towards mathematicians, both researchers and doctoral students, with interest in the field of mathematical chemistry. "

This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.

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.

This book is about graph energy. The authors have included many of the important results on graph energy, such as the complete solution to the conjecture on maximal energy of unicyclic graphs, the Wagner-Heuberger's result on the energy of trees, the energy of random graphs or the approach to energy using singular values. It contains an extensive coverage of recent results and a gradual development of topics and the inclusion of complete proofs from most of the important recent results in the area. The latter fact makes it a valuable reference for researchers looking to get into the field of graph energy, further stimulating it with occasional inclusion of open problems. The book provides a comprehensive survey of all results and common proof methods obtained in this field with an extensive reference section. The book is aimed mainly towards mathematicians, both researchers and doctoral students, with interest in the field of mathematical chemistry.

Rainbow connections are natural combinatorial measures that are used in applications to secure the transfer of classified information between agencies incommunication networks. "Rainbow Connections of Graphs" covers this new and emerging topicin 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 followingcategories, computation of the exact valuesof 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 andgraph 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.

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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.

This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.

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.