Results 21 to 30 of about 107,276 (264)
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
doaj +1 more source
Representations of Edge Intersection Graphs of Paths in a Tree [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Let $\mathcal{P}$ be a collection of nontrivial simple paths in a tree $T$. The edge intersection graph of $\mathcal{P}$, denoted by EPT($\mathcal{P}$), has vertex set that corresponds to the members of $\mathcal{P}$, and two vertices are joined by an ...
Martin Charles Golumbic +2 more
doaj +1 more source
Optimizing tree decompositions in MSO [PDF]
Logical Methods in Computer Science, 2022 The classic algorithm of Bodlaender and Kloks [J. Algorithms, 1996] solves the following problem in linear fixed-parameter time: given a tree decomposition of a graph of (possibly suboptimal) width k, compute an optimum-width tree decomposition of the ...
Mikołaj Bojańczyk, Michał Pilipczuk
doaj +1 more source
Spanning Trees in Dense Graphs [PDF]
Combinatorics, Probability and Computing, 2001 In this paper we prove the following almost optimal theorem. For any δ > 0, there exist constants c and n0 such that, if n [ges ] n0, T is a tree of order n and maximum degree at most cn/log n, and G is a graph of order n and minimum degree at least (1/2 + δ)n, then T is a subgraph of G.
Komlós, János +2 more
openaire +2 more sources
Breaking intractability of spanning caterpillar tree problem: A logical approach [PDF]
AUT Journal of Mathematics and Computing, 2022 In this paper we pursue a logical approach to prove that the optimisation problem of finding a spanning caterpillar tree in a graph has polynomial algorithm for bounded tree width graphs.
Masoud Khosravani
doaj +1 more source
Degree Sum Condition for the Existence of Spanning k-Trees in Star-Free Graphs
Discussiones Mathematicae Graph Theory, 2022 For an integer k ≥ 2, a k-tree T is defined as a tree with maximum degree at most k. If a k-tree T spans a graph G, then T is called a spanning k-tree of G.
Furuya Michitaka +5 more
doaj +1 more source
Gelfand pairs associated with the action of graph automaton groups [PDF]
International Journal of Group Theory, 2023 Graph automaton groups constitute a special class of automaton groups constructed from a graph. In this paper, we show that the action of any graph automaton group on each level of the rooted regular tree gives rise to a Gelfand pair.
Matteo Cavaleri +2 more
doaj +1 more source
Computing a Clique Tree with the Algorithm Maximal Label Search
Algorithms, 2017 The algorithm MLS (Maximal Label Search) is a graph search algorithm that generalizes the algorithms Maximum Cardinality Search (MCS), Lexicographic Breadth-First Search (LexBFS), Lexicographic Depth-First Search (LexDFS) and Maximal Neighborhood Search (
Anne Berry, Geneviève Simonet
doaj +1 more source
Tree-Antimagicness of Disconnected Graphs [PDF]
Mathematical Problems in Engineering, 2015 A simple graphGadmits anH-covering if every edge inE(G)belongs to a subgraph ofGisomorphic toH. The graphGis said to be (a,d)-H-antimagic if there exists a bijection from the vertex setV(G)and the edge setE(G)onto the set of integers1, 2, …,VG+E(G)such that, for all subgraphsH′ofGisomorphic toH, the sum of labels of all vertices and edges belonging toH′
Bača, Martin +3 more
openaire +2 more sources
NP-completeness of the Minimum Spanning Tree Problem of a Multiple Graph of Multiplicity k ≥ 3
Моделирование и анализ информационных систем, 2021 In this paper, we study undirected multiple graphs of any natural multiplicity k > 1. There are edges of three types: ordinary edges, multiple edges and multi-edges. Each edge of the last two types is a union of k linked edges, which connect 2 or (k +
Alexander Valeryevich Smirnov
doaj +1 more source