WebNov 1, 2024 · An antimagic labeling of a directed graph with arcs is a bijection from the set of arcs to the set such that any two oriented vertex sums are distinct, where an oriented … WebAug 1, 2013 · Consider the oriented Halin graph H → in Fig. 2.Suppose by contradiction that labels from 0 to 6 are sufficient. First observe that one between the labels of x, y, z must be different from 0 and 6. Without losing generality suppose this is y.The four neighbors of y in the cycle, must have labels distinct from l (y) − 1, l (y), l (y) + 1 and l (x).Thus, there …
DOMINATING CYCLES IN HALIN GRAPHS* - CORE
WebThis paper investigates the L(1,1)-edge-labeling numbers, the L (2,1) -edge- labeling numbers and the circular-L(2,2)-edge- Labelings numbers of the hexagonal lattice, the square lattices, the triangular lattice and the strong product of two infinite paths. Suppose G is a graph. Two edges e and e′ in G are said to be adjacent if they share a common end … WebJan 31, 2003 · The distance-two labelling problem of graphs was proposed by Griggs and Roberts in 1988, and it is a variation of the frequency assignment problem introduced by … new kia rio hatchback for sale
Distance-two labelings of graphs - ScienceDirect
WebThe problem of vertex labeling with a condition at distance two in a graph, is a variation of Hale’s channel assignment problem, which ... Key words and phrases: (p,q)-labelling, … WebJul 31, 2006 · An edge connect- ing two vertices x and y in an undirected graph G is denoted by xy. An arc from a vertex x toavertexy in a digraph vector G is denoted by (x,y).Let vector d(x,y) de- note the directed distance between two vertices x and y, i.e., the length of a shortest dipath between x and Research supported partially by NSFC (No. … WebJ. L. Gross: Embeddings of cubic Halin graphs: Genus distributions 39 edge-amalgamation, respectively, which are the two simplest kinds of amalgamation of two graphs. *V = Figure 2: Vertex-amalgamation of two graphs. * = E Figure 3: Edge-amalgamation of two graphs. A bar-amalgamation of two (disjoint) graphs Gand His obtained by joining a vertex intigate south korea