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Titlebook: Algebraic Graph Algorithms; A Practical Guide Us K. Erciyes Textbook 2021 Springer Nature Switzerland AG 2021 Algorithms.Algebraic Algorith

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https://doi.org/10.1007/978-981-99-4841-3A tree is graph that does not contain any cycles. A tree may be used to model many real network structures such as the administration of an organization. We first provide a method to construct a spanning tree in this chapter. We then review few algorithms to construct a minimum spanning tree of a weighted graph.
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https://doi.org/10.1057/9780230627369A subgraph of a graph contains some of its vertices and edges. Some subgraphs have certain properties that can be used by many diverse applications. In this chapter, we survey a number of special subgraphs, algorithms on how to detect them using graph algebraic properties.
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Introduction,This chapter serves as an informal introduction to the basic concepts used in the book, which are graphs and matrices, along with implementation ideas. It contains a very brief introduction to Python programming language, main challenges in algebraic graph algorithms and a detailed description of the contents of the book.
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TreesA tree is graph that does not contain any cycles. A tree may be used to model many real network structures such as the administration of an organization. We first provide a method to construct a spanning tree in this chapter. We then review few algorithms to construct a minimum spanning tree of a weighted graph.
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Subgraph SearchA subgraph of a graph contains some of its vertices and edges. Some subgraphs have certain properties that can be used by many diverse applications. In this chapter, we survey a number of special subgraphs, algorithms on how to detect them using graph algebraic properties.
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Graphs, Matrices and Matroids types, graph operations and graph traversals in the first section. We then look at ways of defining graph in terms of matrices and conclude with a data structure called matroids which we will use to design some specific type of graph algorithms.
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