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This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems. It presents, for the first time in the literature, a cohesive mathematical framework within which the properties of such optimal interconnection networks can be understood across a wide range of metrics and cost functions. The book makes use of this mathematical theory to develop efficient algorithms for constructing such networks, with an emphasis on exact solutions. Marcus Brazil and Martin Zachariasen focus principally on the geometric structure of optimal interconnection networks, also known as Steiner trees, in the plane. They show readers how an understanding of this structure can lead to practical exact algorithms for constructing such trees. The book also details numerous breakthroughs in this area over the past 20 years, features clearly written proofs, and is supported by 135 colour and 15 black and white figures. It will help graduate students, working mathematicians, engineers and computer scientists to understand the principles required for designing interconnection networks in the plane that are as cost efficient as possible.

Geometry --- Numerical methods of optimisation --- Operational research. Game theory --- Discrete mathematics --- Mathematics --- Applied physical engineering --- Engineering sciences. Technology --- Computer science --- Computer. Automation --- ICT (informatie- en communicatietechnieken) --- toegepaste wiskunde --- discrete wiskunde --- automatisering --- economie --- informatica --- externe fixatie (geneeskunde --- wiskunde --- algoritmen --- ingenieurswetenschappen --- geometrie

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Management --- Management. --- Industrial relations --- Organization --- Administration --- Brazil. --- al-Barāzīl --- Barāzīl --- Brasil --- Brasile --- Brasilia --- Brasili --- Brasilien --- Brazili --- Brazili Federativlă Respubliki --- Brazilia --- Brazilii͡ --- Brazilii͡a Federativ Respublikaḣy --- Braziliya --- Braziliya Federativ Respublikası --- Brazilská federativní republika --- Brazylia --- Brésil --- Burajiru --- Federale Republiek van Brasili --- Federative Republic of Brazil --- Federativna republika Brazil --- Federativna republika Brazilii͡ --- Federat͡siėm Respublikė Brazil --- Fedėratyŭnai͡a Rėspublika Brazilii͡ --- Gweriniaeth Ffederal Brasil --- Pa-hsi --- Pa-se --- Pa-se Liân-pang Kiōng-hô-kok --- Pederatibong Republika sa Brasil --- Pindorama --- República Federal del Brasil --- Republica Federale di u Brasile --- Republica Federativa del Brazil --- República Federativa do Brasil --- Rèpublica fèdèrativa du Brèsil --- Republik Kevreel Brazil --- République fédérative du Brésil --- Tantasqa Republika Wrasil --- Tetã Pindorama --- Wrasil --- Business management --- management issues --- organization theory --- human resources --- logistics --- finance --- marketing

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Public administration --- Management --- Management. --- Industrial relations --- Organization --- Administration, Public --- Delivery of government services --- Government services, Delivery of --- Public management --- Public sector management --- Political science --- Administrative law --- Decentralization in government --- Local government --- Public officers --- Administration --- Brazil. --- al-Barāzīl --- Barāzīl --- Brasil --- Brasile --- Brasilia --- Brasili --- Brasilien --- Brazili --- Brazili Federativlă Respubliki --- Brazilia --- Brazilii͡ --- Brazilii͡a Federativ Respublikaḣy --- Braziliya --- Braziliya Federativ Respublikası --- Brazilská federativní republika --- Brazylia --- Brésil --- Burajiru --- Federale Republiek van Brasili --- Federative Republic of Brazil --- Federativna republika Brazil --- Federativna republika Brazilii͡ --- Federat͡siėm Respublikė Brazil --- Fedėratyŭnai͡a Rėspublika Brazilii͡ --- Gweriniaeth Ffederal Brasil --- Pa-hsi --- Pa-se --- Pa-se Liân-pang Kiōng-hô-kok --- Pederatibong Republika sa Brasil --- Pindorama --- República Federal del Brasil --- Republica Federale di u Brasile --- Republica Federativa del Brazil --- República Federativa do Brasil --- Rèpublica fèdèrativa du Brèsil --- Republik Kevreel Brazil --- République fédérative du Brésil --- Tantasqa Republika Wrasil --- Tetã Pindorama --- Wrasil --- Politics --- Business policy --- public administration --- management

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Economics --- Economie politique --- Periodicals --- Périodiques --- Brazil --- Brésil --- Economic policy --- Politique économique --- Wirtschaftswissenschaft. --- Business, Economy and Management --- Social Sciences --- Developmental Issues & Socioeconomic Studies --- Political Science --- Regional and International Studies --- economic theory --- political science --- Economic policy. --- Economics. --- Brazil. --- Economic theory --- Political economy --- Economic nationalism --- Economic planning --- National planning --- State planning --- Political aspects --- al-Barāzīl --- Barāzīl --- Brasil --- Brasile --- Brasilië --- Brasilien --- Brazili --- Brazili Federativlă Respubliki --- Brazilia --- Brazilië --- Brazilii︠a︡ --- Brazilii︠a︡ Federativ Respublikaḣy --- Braziliya --- Braziliya Federativ Respublikası --- Brazilská federativní republika --- Brazylia --- Brésil --- Federale Republiek van Brasilië --- Federative Republic of Brazil --- Federativna republika Brazil --- Federativna republika Brazilii︠a︡ --- Federat︠s︡iėm Respublikė Brazil --- Fedėratyŭnai︠a︡ Rėspublika Brazilii︠a︡ --- Gweriniaeth Ffederal Brasil --- Pa-hsi --- Pa-se --- Pa-se Liân-pang Kiōng-hô-kok --- Pederatibong Republika sa Brasil --- Pindorama --- República Federal del Brasil --- Republica Federale di u Brasile --- Republica Federativa del Brazil --- República Federativa do Brasil --- Rèpublica fèdèrativa du Brèsil --- Republik Kevreel Brazil --- République fédérative du Brésil --- Tantasqa Republika Wrasil --- Tetã Pindorama --- Wrasil --- Social sciences --- Economic man --- Planning --- National security --- Social policy --- Brasili --- Brazilii͡ --- Brazilii͡a Federativ Respublikaḣy --- Federale Republiek van Brasili --- Federativna republika Brazilii͡ --- Federat͡siėm Respublikė Brazil --- Fedėratyŭnai͡a Rėspublika Brazilii͡ --- Brasilia --- Burajiru

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Aerospace engineering --- Aeronautics --- Astronautics --- aerospace technologies --- aerospace engineering --- system engineering --- management systems --- Aeronautics. --- Aerospace engineering. --- Astronautics. --- Brazil. --- Aerostation --- Air navigation --- Aviation --- Communication and traffic --- Aerodynamics --- Airships --- Balloons --- Flight --- Flying-machines --- Aeronautical engineering --- Engineering --- Space sciences --- Astrodynamics --- Space flight --- Space vehicles --- al-Barāzīl --- Barāzīl --- Brasil --- Brasile --- Brasilië --- Brasilien --- Brazili --- Brazili Federativlă Respubliki --- Brazilia --- Brazilië --- Brazilii︠a︡ --- Brazilii︠a︡ Federativ Respublikaḣy --- Braziliya --- Braziliya Federativ Respublikası --- Brazilská federativní republika --- Brazylia --- Brésil --- Federale Republiek van Brasilië --- Federative Republic of Brazil --- Federativna republika Brazil --- Federativna republika Brazilii︠a︡ --- Federat︠s︡iėm Respublikė Brazil --- Fedėratyŭnai︠a︡ Rėspublika Brazilii︠a︡ --- Gweriniaeth Ffederal Brasil --- Pa-hsi --- Pa-se --- Pa-se Liân-pang Kiōng-hô-kok --- Pederatibong Republika sa Brasil --- Pindorama --- República Federal del Brasil --- Republica Federale di u Brasile --- Republica Federativa del Brazil --- República Federativa do Brasil --- Rèpublica fèdèrativa du Brèsil --- Republik Kevreel Brazil --- République fédérative du Brésil --- Tantasqa Republika Wrasil --- Tetã Pindorama --- Wrasil --- Brasili --- Brazilii͡ --- Brazilii͡a Federativ Respublikaḣy --- Federale Republiek van Brasili --- Federativna republika Brazilii͡ --- Federat͡siėm Respublikė Brazil --- Fedėratyŭnai͡a Rėspublika Brazilii͡ --- Brasilia --- Burajiru --- Transport engineering --- Aérospatiale (Ingénierie) --- Astronautique