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Titlebook: Genetic Theory for Cubic Graphs; Pouya Baniasadi,Vladimir Ejov,Michael Haythorpe Book 2016 Springer International Publishing Switzerland 2

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書目名稱Genetic Theory for Cubic Graphs
編輯Pouya Baniasadi,Vladimir Ejov,Michael Haythorpe
視頻videohttp://file.papertrans.cn/383/382637/382637.mp4
概述Includes supplementary material:
叢書名稱SpringerBriefs in Operations Research
圖書封面Titlebook: Genetic Theory for Cubic Graphs;  Pouya Baniasadi,Vladimir Ejov,Michael Haythorpe Book 2016 Springer International Publishing Switzerland 2
描述.This book was motivated by the notion that some of the underlying difficulty in challenging instances of graph-based problems (e.g., the Traveling Salesman Problem) may be “inherited” from simpler graphs which – in an appropriate sense – could be seen as “ancestors” of the given graph instance. The authors propose a partitioning of the set of unlabeled, connected cubic graphs into two disjoint subsets named genes and descendants, where the cardinality of the descendants dominates that of the genes. The key distinction between the two subsets is the presence of special edge cut sets, called cubic crackers, in the descendants..The book begins by proving that any given descendant may be constructed by starting from a finite set of genes and introducing the required cubic crackers through the use of six special operations, called breeding operations. It shows that each breeding operation is invertible, and these inverse operations are examined. It is therefore possible, for any given descendant, to identify a family of genes that could be used to generate the descendant. The authors refer to such a family of genes as a “complete family of ancestor genes” for that particular descendant
出版日期Book 2016
關(guān)鍵詞Cubic Graphs; Descendants; Genes; Graph Algorithms; Inherited Properties; Mutants
版次1
doihttps://doi.org/10.1007/978-3-319-19680-0
isbn_softcover978-3-319-19679-4
isbn_ebook978-3-319-19680-0Series ISSN 2195-0482 Series E-ISSN 2195-0504
issn_series 2195-0482
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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https://doi.org/10.1007/978-3-319-19680-0Cubic Graphs; Descendants; Genes; Graph Algorithms; Inherited Properties; Mutants
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Pouya Baniasadi,Vladimir Ejov,Michael HaythorpeIncludes supplementary material:
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Integrated Planning and Learning,of the descendant correspond to the properties of those genes. In particular we consider the properties of Hamiltonicity, bipartiteness and planarity. In all three cases we prove that a descendant may only possess the property if all of its ancestor genes do. In the case of bipartiteness and planari
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