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Analytical Treatment of Higher-Order Graphs: A Path Ordinal Method for Solving Graphs

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dc.contributor.authorKamal, Hala
dc.contributor.authorLarena, Alicia
dc.contributor.authorBernabeu Martínez, Eusebio
dc.date.accessioned2023-06-18T00:00:52Z
dc.date.available2023-06-18T00:00:52Z
dc.date.issued2017-11-22
dc.description.abstractAnalytical treatment of the composition of higher-order graphs representing linear relations between variables is developed. A path formalism to deal with problems in graph theory is introduced. It is shown how paths in the composed graph representing individual contributions to variables relation can be enumerated and represented by ordinals. The method allows for one to extract partial information and gives an alternative to classical graph approach.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. FP7
dc.description.sponsorshipComunidad de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/65342
dc.identifier.doi10.3390/sym9110288
dc.identifier.issn2073-8994
dc.identifier.officialurlhttps://doi.org/10.3390/sym9110288
dc.identifier.relatedurlhttps://www.mdpi.com/2073-8994/9/11/288
dc.identifier.urihttps://hdl.handle.net/20.500.14352/19151
dc.issue.number11
dc.journal.titleSymmetry
dc.language.isoeng
dc.page.initial288
dc.publisherMDPI
dc.relation.projectIDReBORN (609223)
dc.relation.projectIDSEGVAUTO-TRIES-CM (P2013-MIT-2713)
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.keywordflow graph
dc.subject.keywordmatrix algebra
dc.subject.keywordlinear equations
dc.subject.keywordcascade graph
dc.subject.keywordgraph order
dc.subject.keywordpath ordinal
dc.subject.keywordpath set
dc.subject.keywordpath set diagram
dc.subject.ucmFísica matemática
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleAnalytical Treatment of Higher-Order Graphs: A Path Ordinal Method for Solving Graphs
dc.typejournal article
dc.volume.number9
dspace.entity.typePublication

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