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Irregularity in Graphs (Paperback, 1st ed. 2021)
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Irregularity in Graphs (Paperback, 1st ed. 2021)
Series: SpringerBriefs in Mathematics
Expected to ship within 10 - 15 working days
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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.
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