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Discrete Applied Mathematics
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Discrete Applied Mathematics
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Sequence mixed graphs

Authors: Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel; López, Nacho;
Abstract

A mixed graph can be seen as a type of digraph containing some edges (two opposite arcs). Here we introduce the concept of sequence mixed graphs, which is a generalization of both sequence graphs and iterated line digraphs. These structures are proven to be useful in the problem of constructing dense graphs or digraphs, and this is related to the degree/diameter problem. Thus, our generalized approach gives rise to graphs that have also good ratio order/diameter. Moreover, we propose a general method for obtaining a sequence mixed digraph by identifying some vertices of a certain iterated line digraph. As a consequence, some results about distance-related parameters (mainly, the diameter and the average distance) of sequence mixed graphs are presented.

Keywords

Teoria de, :Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal [Àrees temàtiques de la UPC], Grafs, Teoria de, Moore bound, Line digraph, Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal, Graph theory, Grafs, Algebra, Diameter, Mean distance, Mixed graph, Degree/diameter problem, FOS: Mathematics, Mathematics - Combinatorics, Sequence graph, Combinatorics (math.CO), 05C35

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
views
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