Results 11 to 20 of about 140,706 (235)
Graphs with Flexible Labelings [PDF]
For a flexible labeling of a graph, it is possible to construct infinitely many non-equivalent realizations keeping the distances of connected points constant. We give a combinatorial characterization of graphs that have flexible labelings. The characterization is based on colorings of the edges with restrictions on the cycles.
Georg Grasegger +2 more
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Two types irregular labelling on dodecahedral modified generalization graph
Irregular labelling on graph is a function from component of graph to non-negative natural number such that the weight of all vertices, or edges are distinct. The component of graph is a set of vertices, a set of edges, or a set of both. In this paper we
Nurdin Hinding +4 more
doaj +1 more source
Distance labeling in graphs [PDF]
Summary: We consider the problem of labeling the nodes of a graph in a way that will allow one to compute the distance between any two nodes directly from their labels (without using any additional information). Our main interest is in the minimal length of labels needed in different cases.
Gavoille, Cyril +3 more
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On certain prime cordial families of graphs
Graph labelling is an important tool in modelling real life problems. In the present paper, different graph families are studied for prime cordial labelling.
Nazeran Idrees +3 more
doaj +1 more source
Detection number of bipartite graphs and cubic graphs [PDF]
For a connected graph G of order |V(G)| ≥3 and a k-labelling c : E(G) →{1,2,…,k} of the edges of G, the code of a vertex v of G is the ordered k-tuple (ℓ1,ℓ2,…,ℓk), where ℓi is the number of edges incident with v that are labelled i. The k-labelling c is
Frederic Havet +2 more
doaj +1 more source
Computing the total H-irregularity strength of edge comb product of graphs
A simple undirected graph = (V Γ, EΓ) admits an H-covering if every edge in E belongs to at least one subgraph of that is isomorphic to a graph H. For any graph admitting H-covering, a total labelling β : VΓ ∪EΓ→{1, 2, …, p} is called an H-irregular ...
Wahyujati Mohamad Fahruli, Susanti Yeni
doaj +1 more source
Total edge irregularity strength of quadruplet and quintuplet book graphs [PDF]
Let G= (V, E) be a finite, simple and undirected graph with a vertex set V and an edge set E. An edge irregular total k-labelling is a function f : V ᴗE → {1,2,…,k} such that for any two different edges xy and x’y’ in E, their weights are distinct.
Ratnasari Lucia +3 more
doaj +1 more source
Variable neighbourhood search for the minimum labelling Steiner tree problem [PDF]
We present a study on heuristic solution approaches to the minimum labelling Steiner tree problem, an NP-hard graph problem related to the minimum labelling spanning tree problem.
Consoli, S +3 more
core +1 more source
A graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Graph labelings were first introduced in the mid 1960s. In the intervening 50 years nearly 200 graph labelings techniques have been studied in over 2000 papers. Finding out what has been done for any particular kind of labeling and keeping up
openaire +1 more source
Summarizing Labeled Multi-graphs
17 pages, 8 figures, 4 ...
Berberidis, Dimitris +2 more
openaire +2 more sources

