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Titlebook: Irregularity in Graphs; Akbar Ali,Gary Chartrand,Ping Zhang Book 2021 The Author(s), under exclusive license to Springer Nature Switzerlan

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書目名稱Irregularity in Graphs
編輯Akbar Ali,Gary Chartrand,Ping Zhang
視頻videohttp://file.papertrans.cn/476/475443/475443.mp4
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Irregularity in Graphs;  Akbar Ali,Gary Chartrand,Ping Zhang Book 2021 The Author(s), under exclusive license to Springer Nature Switzerlan
描述Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891,?is often considered the first strictly theoretical paper dealing with graphs. In the 130 years since then, regular graphs have been a common and popular area of study. While regular graphs are typically considered to be graphs whose vertices all have the same degree, a more general interpretation is that of graphs possessing some common characteristic throughout their structure.?.During the past several decades, however, there has been some increased interest in investigating graphs possessing a property that is, in a sense, opposite to regularity. It is this topic with which this book deals, giving rise to a study of what might be called irregularity in graphs. Here, various irregularity concepts dealing with several topics in graph theory are described, such as degrees of vertices, graph labelings, weightings, colorings, graph structures, Eulerian and Hamiltonian properties, graph decompositions, and Ramsey-type problems.?.
出版日期Book 2021
關(guān)鍵詞irregularity; irregular weightings; labelings; edge coloring; highly irregular graphs; link-irregular gra
版次1
doihttps://doi.org/10.1007/978-3-030-67993-4
isbn_softcover978-3-030-67992-7
isbn_ebook978-3-030-67993-4Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2021
The information of publication is updating

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Irregularity Strength,In this chapter, the concept of irregular graphs is looked at in another way, by considering multigraphs rather than graphs or, equivalently, by considering weighted graphs.
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Locally Irregular Graphs,g all vertices of ., if one were to consider the vertices individually and investigate the degrees of the neighbors or the structure of the subgraph induced by the neighbors of a vertex, an entirely different outcome is possible. These are the topics of the current chapter.
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