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Signed Complete Graphs with Maximum Index
Let Γ = (G, σ) be a signed graph, where G is the underlying simple graph and σ E(G) → {−, +} is the sign function on the edges of G. The adjacency matrix of a signed graph has −1 or +1 for adjacent vertices, depending on the sign of the edges.
Akbari Saieed +3 more
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Dimensi Metrik Kuat Lokal Graf Hasil Operasi Kali Kartesian
The strong local metric dimension is the development result of a strong metric dimension study, one of the study topics in graph theory. Some of graphs that have been discovered about strong local metric dimension are path graph, star graph, complete ...
Nurma Ariska Sutardji +2 more
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On the edge irregular reflexive labeling of corona product of graphs with path
We define a total k-labeling of a graph G as a combination of an edge labeling and a vertex labeling such that if and if where The total k-labeling is called an edge irregular reflexive k-labeling of G if every two different edges has distinct edge ...
Kooi-Kuan Yoong +5 more
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One-factorizations of the complete graph $K_{p+1}$ arising from parabolas
There are three types of affine regular polygons in AG(2, q): ellipse, hyperbola and parabola. The first two cases have been investigated in previous papers.
György Kiss +2 more
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DIMENSI METRIK KETETANGGAAN LOKAL GRAF HASIL OPERASI k-COMB
Research on the local adjacency metric dimension has not been found in all operations of the graph, one of them is comb product graph. The purpose of this research was to determine the local adjacency metric dimension of k-comb product graph and level ...
Fryda Arum Pratama +2 more
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Graph Isomorphism Completeness for Trapezoid Graphs
4 pages, 3 Postscript ...
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Horizontal gene transfer is an important contributor to evolution. According to Walter M.\ Fitch, two genes are xenologs if they are separated by at least one HGT. More formally, the directed Fitch graph has a set of genes is its vertices, and directed edges $(x,y)$ for all pairs of genes $x$ and $y$ for which $y$ has been horizontally transferred at ...
Marc Hellmuth +2 more
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The Coloring Graph of Complete Graphs
We study the coloring graph of the family of complete graphs and we prove that Cn(Kt) is regular, transitive, and connected when n>t. Also, we study whether Cn(Kt) is distance transitive or strongly regular, and find its diameter.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sethuraman, G., Selvaraju, P.
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A note on the metric dimension of subdivided thorn graphs
For some ordered subset W = {w1, w2, ⋯, wt} of vertices in connected graph G, and for some vertex v in G, the metric representation of v with respect to W is defined as the t-vector r(v∣W) = {d(v, w1), d(v, w2), ⋯, d(v, wt)}.
Lyra Yulianti +2 more
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