Browsing Articles publicats (Matemàtica) by Subject "Valence"
Now showing items 1-4 of 4
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A new labeling construction from the ⊗h-product
(Elsevier, 2017)The -product that is referred in the title was introduced in 2008 as a generalization of the Kronecker product of digraphs. Many relations among labelings have been obtained since then, always using as a second factor a ... -
A problem on edge-magic labelings of cycles
(Cambridge University Press, 2014-06-14)Kotzig and Rosa defined in 1970 the concept of edge-magic labelings as follows: let G be a simple (p, q)-graph (that is, a graph of order p and size q without loops or multiple edges). A bijective function f : V (G)∪E(G) ... -
New problems related to the valences of (super) edge-magic labelings
(2013)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 ... -
Perfect (super) Edge-Magic Crowns
(Springer, 2017)A graph G is called edge-magic if there is a bijective function f from the set of vertices and edges to the set {1,2, ,|V(G)|+|E(G)|} such that the sum f(x)+f(xy)+f(y) for any xy in E(G) is constant. Such a function is ...