Results 41 to 50 of about 63,637 (247)

CONSTRUCTION OF BICYCLIC GRAPH AND ITS APPLICATION IN TRANS JOGJA ROUTES

open access: yesBarekeng, 2023
A bicyclic graph is a type of graph that consists of exactly two cycles. A cycle is a graph that is a closed path where no vertices are repeated except the first and last vertices which are the same.
Aditya Ambarwati, Vira Hari Krisnawati
doaj   +1 more source

The line completion number of hypercubes

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
In 1992, Bagga, Beineke, and Varma introduced the concept of the super line graph of index of a graph denoted by The vertices of are the -subsets of and two vertices and are adjacent if there exist and such that and are adjacent edges in They also ...
S.A. Tapadia, B.N. Waphare
doaj   +1 more source

The complete list of Ramsey $(2K_2,K_4)$-minimal graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2015
Let $F, G,$ and $H$ be non-empty graphs. The notation $F \rightarrow (G,H)$ means that if all edges of $F$ are arbitrarily colored by red or blue, then either the subgraph of $F$ induced by all red edges contains a graph $G$ or the subgraph of $F ...
Kristiana Wijaya   +3 more
doaj   +1 more source

Edge erasures and chordal graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2021
We prove several results about chordal graphs and weighted chordal graphs by focusing on exposed edges. These are edges that are properly contained in a single maximal complete subgraph.
Jared Culbertson   +2 more
doaj   +1 more source

On the existence of total dominating subgraphs with a prescribed additive hereditary property [PDF]

open access: yes, 2011
Recently, Bacsó and Tuza gave a full characterization of the graphs for which every connected induced subgraph has a connected dominating subgraph satisfying an arbitrary prescribed hereditary property.
Schaudt, Oliver
core   +1 more source

Domination properties and induced subgraphs

open access: yesDiscrete Mathematics, 1993
AbstractLet the class Forb(Ct, Pt) consist of all graphs containing no induced cycle or path on t vertices, and denote by Dom(d, k) the class of graphs in which every connected induced subgraph H has a k-dominating subgraph D of diameter at most d (i.e.
Zs. Tuza, Gábor Bacsó
openaire   +2 more sources

A ramsey-type theorem for multiple disjoint copies of induced subgraphs

open access: yesDiscussiones Mathematicae Graph Theory, 2014
Let k and ℓ be positive integers with ℓ ≤ k − 2. It is proved that there exists a positive integer c depending on k and ℓ such that every graph of order (2k−1−ℓ/k)n+c contains n vertex disjoint induced subgraphs, where these subgraphs are isomorphic to ...
Nakamigawa Tomoki
doaj   +1 more source

Efficient Enumeration of Induced Subtrees in a K-Degenerate Graph

open access: yes, 2014
In this paper, we address the problem of enumerating all induced subtrees in an input k-degenerate graph, where an induced subtree is an acyclic and connected induced subgraph.
A Shioura   +7 more
core   +1 more source

The complexity of the connected graph access structure on seven participants

open access: yesJournal of Mathematical Cryptology, 2017
In this paper, we study an important problem in secret sharing that determines the exact value or bound for the complexity. First, we use the induced subgraph complexity of the graph G with access structure Γ to obtain a lower bound on the complexity of ...
Hadian Dehkordi Massoud, Safi Ali
doaj   +1 more source

Application of an Extremal Result of Erdős and Gallai to the (n,k,t) Problem

open access: yesTheory and Applications of Graphs, 2017
An extremal result about vertex covers, attributed by Hajnal to Erdős and Gallai, is applied to prove the following: If n, k, and t are integers satisfying n ≥ k ≥ t ≥ 3 and k ≤ 2t - 2, and G is a graph with the minimum number of edges among graphs on n ...
Matt Noble   +3 more
doaj   +1 more source

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