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The jumping knight and other (super) edge-magic constructions

Autor
López, S.C.; Muntaner-Batle, F.A.; Rius, M.
Tipus d'activitat
Article en revista
Revista
Mediterranean journal of mathematics
Data de publicació
2013-11
DOI
https://doi.org/10.1007/s00009-013-0360-3 Obrir en finestra nova
URL
http://link.springer.com/article/10.1007%2Fs00009-013-0360-3 Obrir en finestra nova
Resum
Let G be a graph of order p and size q with loops allowed. A bijective function f:V(G)¿E(G)¿{i}p+qi=1 is an edge-magic labeling of G if the sum f(u)+f(uv)+f(v)=k is independent of the choice of the edge uv. The constant k is called either the valence, the magic weight or the magic sum of the labeling f. If a graph admits an edge-magic labeling, then it is called an edge-magic graph. Furthermore, if the function f meets the extra condition that f(V(G))={i}pi=1 then f is called a super edge-m...
Paraules clau
(Super) edge-magic, Jacobsthal sequence, dual shuffle prime
Grup de recerca
COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions

Participants