Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: total detection number

Sortuj według:

Ogranicz wyniki do:

A Note on the Total Detection Numbers of Cycles

100%

Escuadro H. E., Fujie F., Musick C. E.

Discussiones Mathematicae Graph Theory

2015

tom 35

nr 2

237-247

Let G be a connected graph of size at least 2 and c :E(G)→{0, 1, . . . , k− 1} an edge coloring (or labeling) of G using k labels, where adjacent edges may be assigned the same label. For each vertex v of G, the color code of v with respect to c is the k-vector code(v) = (a0, a1, . . . , ak−1), where ai is the number of edges incident with v that are labeled i for 0 ≤ i ≤ k − 1. The labeling c is called a detectable labeling if distinct vertices in G have distinct color codes. The value val(c) of a detectable labeling c of a graph G is the sum of the labels assigned to the edges in G. The total detection number td(G) of G is defined by td(G) = min{val(c)}, where the minimum is taken over all detectable labelings c of G. We investigate the problem of determining the total detection numbers of cycles.

Ograniczanie wyników

1 Discussiones Mathematicae Graph Theory

1 Escuadro H. E.

1 Fujie F.

1 Musick C. E.

1 2015

Wyniki wyszukiwania

A Note on the Total Detection Numbers of Cycles