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Sequence mixed graphs

open access: yesDiscrete Applied Mathematics, 2017
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 ...
Dalfó Simó, Cristina   +2 more
openaire   +5 more sources

Colourings of $(m, n)$-coloured mixed graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
A mixed graph is, informally, an object obtained from a simple undirected graph by choosing an orientation for a subset of its edges. A mixed graph is $(m, n)$-coloured if each edge is assigned one of $m \geq 0$ colours, and each arc is assigned one of ...
Gary MacGillivray   +2 more
doaj   +1 more source

Graph Models of Automobile Gears - Kinematics

open access: yesInternational Journal of Applied Mechanics and Engineering, 2014
In the present paper, kinematical analysis of an automotive gear is described. Versatile graph based methods have been utilized for this purpose. An application of mixed, contour and bond graphs gives the same results. It allows the detection of possible
J. Drewniak, J. Kopeć, S. Zawiślak
doaj   +1 more source

On Resolvability- and Domination-Related Parameters of Complete Multipartite Graphs

open access: yesMathematics, 2022
Graphs of order n with fault-tolerant metric dimension n have recently been characterized.This paper points out an error in the proof of this characterization. We show that the complete multipartite graphs also have the fault-tolerant metric dimension n,
Sakander Hayat, Asad Khan, Yubin Zhong
doaj   +1 more source

Construction and analysis of graph models for multiprocessor interconnection networks [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
A graph G can serve as a model for the Multiprocessor Interconnection Networks (MINs) in which the vertices represent the processors, while the edges represent connections between processors.
Hegde S.M., Saumya Y.M.
doaj   +1 more source

Computing Fault-Tolerant Metric Dimension of Connected Graphs

open access: yesJournal of Mathematics, 2022
For a connected graph, the concept of metric dimension contributes an important role in computer networking and in the formation of chemical structures.
Uzma Ahmad   +3 more
doaj   +1 more source

Mixing colourings in 2K2-free graphs

open access: yesDiscrete Mathematics, 2022
4 pages, 2 ...
Carl Feghali, Owen Merkel
openaire   +2 more sources

MixedGraphinFuzzy,Neutrosophic, and Plithogenic Graphs [PDF]

open access: yesNeutrosophic Sets and Systems
Graph theory examines networks consisting of nodes (vertices) and the connections (edges) between them. Mixed graphs, which combine both undirected and directed edges, provide a versatile framework for representing relationships with symmetric and ...
Florentin Smarandache, Takaaki Fujita
doaj   +1 more source

A Graph Theoretic Perspective on CPM(Rel) [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
Mixed states are of interest in quantum mechanics for modelling partial information. More recently categorical approaches to linguistics have also exploited the idea of mixed states to describe ambiguity and hyponym / hypernym relationships.
Daniel Marsden
doaj   +1 more source

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