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Turbo Dijkstra. Finding Single-Source Shortest Paths on Planar Graphs with Nonnegative Edge Weights in Linear Time
Seminar paper from the year 2021 in the subject Computer Science - Theory, grade: 1.0 (A), University of Passau, language: English, abstract: The need to find shortest paths in a graph from some fixed source vertex to all other vertices is quite obvious and therefore one of the most important problems in graph theory. For general graphs, the standard way to go is the Dijkstra algorithm. On planar graphs, this approach takes linearithmic time in the number of vertices. However, we present an algorithm published by Henzinger et al. in 1997 that accomplishes the task in linear time on planar graphs.
Edsger Wybe Dijkstra
Edsger Wybe Dijkstra (1930–2002) was one of the most influential researchers in the history of computer science, making fundamental contributions to both the theory and practice of computing. Early in his career, he proposed the single-source shortest path algorithm, now commonly referred to as Dijkstra’s algorithm. He wrote (with Jaap Zonneveld) the first ALGOL 60 compiler, and designed and implemented with his colleagues the influential THE operating system. Dijkstra invented the field of concurrent algorithms, with concepts such as mutual exclusion, deadlock detection, and synchronization. A prolific writer and forceful proponent of the concept of structured programming, he convincing...
A Discipline of Programming
Executional abstraction; The role of programming languages; States and their characterization; The characterization of semantics; The semantic characterization of a programming language; Two theorems; On the design of properly terminating; Euclid's algorithm revisited; The formal treatment of some small examples; The linear search theorem; The problem of the next permutation.
The Louisiana Book
Rineke Dijkstra (b. 1959) is one of the most prominent and internationally acclaimed artists working within the genre of photography and video portraiture. Her large-scale photographs show a rare sense of humanity, empathy and intimacy without any trace of sentimentality or indiscretion. Dijkstra typically captures her subjects at moments of transition or vulnerability, thus focusing on the thematics of identity. Though absolutely modern, even timeless, her portraiture brings to mind the great masters of the Golden Age of Dutch art. 'I try to capture something of the personality of these people,' Rineke Dijkstra explains, 'but at the same time extract something universal relating to humanity in general. There has to be enough space to make your own stories; to interpret a picture the way you want.'
The shortest path problem on chola period built temples with Dijkstra’s algorithm in intuitionistic triangular neutrosophic fuzzy graph
In this article, Intuitionistic Triangular Neutrosophic Fuzzy Graph of Shortest Path Problem was Inaugurated, which is drew on triangular numbers and Intuitionistic Neutrosophic Fuzzy Graph. Real-world application is given as an illustrative model for Intuitionistic Triangular Neutrosophic Fuzzy Graph. Here we introduced famous chola period temples. These types of temples builted in various king of cholas. Here we assume only seven types of temples as vertices of Intuitionistic Triangular Neutrosophic Fuzzy Graph. Use of fuzzification method, edge weights of this Graph was calculated. Score function of Intuitionistic Triangular Neutrosophic Fuzzy Graph is inaugurated, with the help of this score function in the proposed algorithm, shortest way is determined.. This present Chola period temples Shortest Path Problem. Obtained shortest path is verified through Dijkstra’s Algorithm with the help of Python Jupyter Notebook (adaptation) programming.
Survivable Networks
Survivable Networks: Algorithms for Diverse Routing provides algorithms for diverse routing to enhance the survivability of a network. It considers the common mesh-type network and describes in detail the construction of physically disjoint paths algorithms for diverse routing. The algorithms are developed in a systematic manner, starting with shortest path algorithms appropriate for disjoint paths construction. Key features of the algorithms are optimality and simplicity. Although the algorithms have been developed for survivability of communication networks, they are in a generic form, and thus applicable in other scientific and technical disciplines to problems that can be modeled as a ne...
The Handbook of Bilingualism
This handbook provides state-of-the-art treatments of the central issues that arise from the study of the phenomena of bilingualism. It explores topics ranging from the bilingual brain to bilingual education.
The Algorithm Design Manual
This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The seco...
Fundamental of Algorithms
EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.
Handbook of Optimization in Telecommunications
This comprehensive handbook brings together experts who use optimization to solve problems that arise in telecommunications. It is the first book to cover in detail the field of optimization in telecommunications. Recent optimization developments that are frequently applied to telecommunications are covered. The spectrum of topics covered includes planning and design of telecommunication networks, routing, network protection, grooming, restoration, wireless communications, network location and assignment problems, Internet protocol, World Wide Web, and stochastic issues in telecommunications. The book’s objective is to provide a reference tool for the increasing number of scientists and engineers in telecommunications who depend upon optimization.
