dc.contributor.author
López Masip, Susana-Clara
dc.contributor.author
Muntaner Batle, Francesc Antoni
dc.contributor.author
Rius Font, Miquel
dc.date.accessioned
2024-12-05T22:37:55Z
dc.date.available
2024-12-05T22:37:55Z
dc.date.issued
2019-06-18T08:48:41Z
dc.date.issued
2019-06-18T08:48:41Z
dc.date.issued
2019-06-18T08:48:45Z
dc.identifier
https://doi.org/10.1080/09728600.2013.12088733
dc.identifier
http://hdl.handle.net/10459.1/66462
dc.identifier.uri
http://hdl.handle.net/10459.1/66462
dc.description.abstract
A graph G of order p and size q is edge-magic if there is a bijective function f : V (G) ∪ E(G) −→ {i} p+q i=1 such that f(x) + f(xy) + f(y) = k , for all xy ∈ E(G) . The function f is an edge-magic labeling of G and the sum k is called either the magic sum, the valence or the weight of f . Furthermore, if f(V (G)) = {i} p i=1 then f is a super edge-magic labeling of G . In this paper we study the valences that can be attained by (super) edge-magic labelings of some families of graphs.
dc.description.abstract
The first and the third author are supported by the Spanish Research Council under project
MTM2011-28800-C02-01 and by the Catalan Research Council under grant 2009SGR1387.
dc.format
application/pdf
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-28800-C02-01/ES/OPTIMIZACION Y PROBLEMAS EXTREMALES EN TEORIA DE GRAFOS Y COMBINATORIA. APLICACIONES A LAS REDES DE COMUNICACION/
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1080/09728600.2013.12088733
dc.relation
AKCE International Journal of Graphs and Combinatorics, 2013, vol. 10, num. 2, p. 169-181
dc.rights
(c) AKCE International Journal of Graphs and Combinatorics, 2013
dc.rights
info:eu-repo/semantics/openAccess
dc.subject
Super edge-magic
dc.title
New problems related to the valences of (super) edge-magic labelings
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
