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Enumerating super edge-magic labelings for some types of path-like trees

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2015
Author
López Masip, Susana-Clara
Muntaner Batle, F. A.
Rius Font, Miquel
Suggested citation
López Masip, Susana-Clara; Muntaner Batle, F. A.; Rius Font, Miquel; . (2015) . Enumerating super edge-magic labelings for some types of path-like trees. Utilitas Mathematica, 2015, vol. 96, p. 285-299. http://hdl.handle.net/10459.1/66461.
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Abstract
The main goal of this paper is to use a variation of the Kronecker product of matrices in order to obtain lower bounds for the number of non isomorphic super edge-magic labelings of some types of pathlike trees. As a corollary of the results obtained here we also obtain lower bounds for the number of harmonious labelings of the same type of trees.
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http://hdl.handle.net/10459.1/66461
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Utilitas Mathematica, 2015, vol. 96, p. 285-299
European research projects
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  • Publicacions de projectes de recerca del Plan Nacional [2182]
  • Articles publicats (Matemàtica) [265]

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    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 ...
  • Labeling constructions using digraph products 

    López Masip, Susana-Clara; Muntaner Batle, F. A.; Rius Font, Miquel (Elsevier, 2013)
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    Ichishima, R.; López Masip, Susana-Clara; Muntaner Batle, F. A.; Rius Font, Miquel (Elsevier, 2012)
    The ⊗h-product was introduced in 2008 by Figueroa-Centeno et al. as a way to construct new families of (super) edge-magic graphs and to prove that some of those families admit an exponential number of (super) edge-magic ...

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