Faster treewidth-based approximations for Wiener index

GK Conrado, AK Goharshady, P Hudec… - 22nd International …, 2024 - drops.dagstuhl.de
The Wiener index of a graph G is the sum of distances between all pairs of its vertices. It is a
widely-used graph property in chemistry, initially introduced to examine the link between …

Efficient Interprocedural Data-Flow Analysis Using Treedepth and Treewidth

AK Goharshady, AK Zaher - … on Verification, Model Checking, and Abstract …, 2023 - Springer
We consider interprocedural data-flow analysis as formalized by the standard IFDS
framework, which can express many widely-used static analyses such as reaching …

[HTML][HTML] On the parameterized complexity of [1, j]-domination problems

MA Meybodi, FV Fomin, AE Mouawad… - Theoretical Computer …, 2020 - Elsevier
For a graph G, a set D⊆ V (G) is called a [1, j]-dominating set if every vertex in V (G)∖ D has
at least one and at most j neighbors in D. A set D⊆ V (G) is called a [1, j]-total dominating set …

[HTML][HTML] When an optimal dominating set with given constraints exists

O Etesami, N Ghareghani, M Habib… - Theoretical Computer …, 2019 - Elsevier
A dominating set is a set S of vertices in a graph such that every vertex not in S is adjacent to
a vertex in S. In this paper, we consider the set of all optimal (ie smallest) dominating sets S …

Roman [1, 2]-domination of graphs

G Hao, X Chen, SM Sheikholeslami, H Jiang - Applied Mathematics and …, 2024 - Elsevier
Abstract A [1, 2]-set of a graph G is a set S of vertices of G if every vertex not in S has one or
two neighbors in S. The [1, 2]-domination number γ [1, 2](G) of G equals the minimum …

[1, k]-Domination Number of Lexicographic Products of Graphs

N Ghareghani, I Peterin, P Sharifani - Bulletin of the Malaysian …, 2021 - Springer
A subset D of the vertex set V (G) of a graph G is called a 1, k-dominating set if every vertex
from VD VD is adjacent to at least one vertex and at most k vertices of D. A 1, k-dominating …

[PDF][PDF] The [a, b]-domination and [a, b]-total domination of graphs

X Zhang, Z Shao, H Yang - Journal of mathematics …, 2017 - pdfs.semanticscholar.org
A subset S of the vertices of G=(V, E) is an [a, b]-set if for every vertex v not in S we have the
number of neighbors of v in S is between a and b for non-negative integers a and b, that is …

On the Existence of Independent [j,k]-Dominating Sets in the Generalized Corona of Graphs

A Kosiorowska, I Włoch - Symmetry, 2023 - mdpi.com
In 2013 the concept of [j, k]-dominating sets in graphs have been introduced as an extension
of [1, k]-dominating sets. Regarding studying [j, k]-dominating sets, the research is also …

Algorithms for Minimum Membership Dominating Set Problem

SB Reddy, AS Kare - arXiv preprint arXiv:2408.00797, 2024 - arxiv.org
Given a graph $ G=(V, E) $ and an integer $ k $, the Minimum Membership Dominating Set
problem asks to compute a set $ S\subseteq V $ such that for each $ v\in V $, $1\leq| N …

On -Domination in Interval and Circle Graphs

MA Meybodi, A Poureidi - arXiv preprint arXiv:2403.04694, 2024 - arxiv.org
A subset $ S $ of vertices in a graph $ G=(V, E) $ is Dominating Set if each vertex in $ V
(G)\setminus S $ is adjacent to at least one vertex in $ S $. Chellali et al. in 2013, by …