Results 21 to 30 of about 397,867 (315)
Completely connected clustered graphs
Journal of Discrete Algorithms, 2003 A clustered graph \((G,T,r)\) consists of a graph \(G=(V,E)\), a tree \(T\), and an inner vertex \(r\) of \(T\) such that the set of leaves of \(T\) is exactly \(V\). A clustered graph is said to be completely connected if every cluster, and also each complement of a cluster, induces a connected subgraph.
Cornelsen, Sabine, Wagner, Dorothea
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On dynamic colouring of cartesian product of complete graph with some graphs
Journal of Taibah University for Science, 2020 A proper vertex colouring is called a 2-dynamic colouring, if for every vertex v with degree at least 2, the neighbours of v receive at least two colours. The smallest integer k such that G has a dynamic colouring with k colours denoted by $\chi _2(G) $.
K. Kaliraj +2 more
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Dimensi Metrik Kuat Lokal Graf Hasil Operasi Kali Kartesian
Contemporary Mathematics and Applications (ConMathA), 2020 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
AKCE International Journal of Graphs and Combinatorics, 2021 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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Aksioma: Jurnal Program Studi Pendidikan Matematika, 2018 This study aims to determine the minimum spanning tree of a complete graph K_n with weight constraints and completion using the cutting plane method. The cutting plane method is one of the algorithms included in the exact method.
Dewi Suhika, Wamiliana Wamiliana
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AIMS Mathematics, 2021 In this paper, it is explicitly determined the r-dynamic chromatic number of the direct product of any given path with either a complete graph or a wheel graph.
T. Deepa +2 more
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Teorema Pohon Matriks Untuk Menentukan Banyaknya Pohon Rentangan Graf Bipartisi Komplit (Km,n)
Fokus, 2016 This research aims to observes panning tree number of complete bipartite graph (Km,n) by matrix-tree theorem.This research was using library research method which the step are:(1)Drawing complete bipartite graph (Km,n) where m= 1,2,3,4,and; (2)Determinin
Novia Rahmawati
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On the r-dynamic coloring of subdivision-edge coronas of a path
AIMS Mathematics, 2020 This paper deals with the r-dynamic chromatic number of the subdivision-edge corona of a path and exactly one of the following nine types of graphs: a path, a cycle, a wheel, a complete graph, a complete bipartite graph, a star, a double star, a fan ...
G. Nandini +2 more
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Decomposing the complete r-graph
Journal of Combinatorial Theory, Series A, 2018 Let $f_r(n)$ be the minimum number of complete $r$-partite $r$-graphs needed to partition the edge set of the complete $r$-uniform hypergraph on $n$ vertices. Graham and Pollak showed that $f_2(n) = n-1$. An easy construction shows that $f_r(n)\le (1-o(1))\binom{n}{\lfloor r/2\rfloor}$ and it has been unknown if this upper bound is asymptotically sharp.
Imre Leader +2 more
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Decompositions of Complete Multipartite Graphs into Complete Graphs
, 2011 Let $k\geq\ell\geq1$ and $n\geq 1$ be integers. Let $G(k,n)$ be the complete $k$-partite graph with $n$ vertices in each colour class. An $\ell$-decomposition of $G(k,n)$ is a set $X$ of copies of $K_k$ in $G(k,n)$ such that each copy of $K_\ell$ in $G(k,n)$ is a subgraph of exactly one copy of $K_k$ in $X$. This paper asks: when does $G(k,n)$ have an $
Fabila-Monroy, Ruy, Wood, David R.
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