Search Results - "Silvia Tondato"
-
1
On a problem of L. Alcón concerning path domination
Published in Discussiones Mathematicae. Graph Theory (16-11-2023)Get full text
Journal Article -
2
Walk Domination and HHD-Free Graphs
Published in Graphs and combinatorics (01-05-2024)“…HHD-free is the class of graphs which contain no house, hole, or domino as induced subgraph. It is known that HHD-free graphs can be characterized via…”
Get full text
Journal Article -
3
On walk domination: weakly toll domination, l2 and l3 domination
Published in Discussiones Mathematicae. Graph Theory (01-01-2024)Get full text
Journal Article -
4
Weakly toll convexity and proper interval graphs
Published in Discrete mathematics and theoretical computer science (01-08-2024)“…A walk $u_0u_1 \ldots u_{k-1}u_k$ is a \textit{weakly toll walk} if $u_0u_i \in E(G)$ implies $u_i = u_1$ and $u_ju_k\in E(G)$ implies $u_j=u_{k-1}$. A set $S$…”
Get full text
Journal Article -
5
On Models of Directed Path Graphs Non Rooted Directed Path Graphs
Published in Graphs and combinatorics (01-03-2016)“…A directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted directed path graph is the intersection graph of…”
Get full text
Journal Article -
6
End Simplicial Vertices in Path Graphs
Published in Discussiones Mathematicae. Graph Theory (01-05-2016)“…A graph is a path graph if there is a tree, called UV -model, whose vertices are the maximal cliques of the graph and for each vertex x of the graph the set of…”
Get full text
Journal Article -
7
Asteroidal Quadruples in non Rooted Path Graphs
Published in Discussiones Mathematicae. Graph Theory (01-01-2015)“…A directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted path graph is the intersection graph of a family…”
Get full text
Journal Article -
8
On walk domination: weakly toll domination, l 2 and l 3 domination
Published in Discussiones Mathematicae. Graph Theory (2024)Get full text
Journal Article -
9
Diclique digraphs
Published in Discrete Applied Mathematics (15-02-2024)Get full text
Journal Article -
10
Convex geometries over induced paths with bounded length
Published in Discrete mathematics (01-01-2023)“…In this paper we introduce the notion of lk-convexity, a natural restriction of the monophonic convexity. Let G be a graph and k≥2 an integer. A subset S⊆V(G)…”
Get full text
Journal Article -
11
Computing the hull and interval numbers in the weakly toll convexity
Published in Theoretical computer science (21-05-2024)“…A walk u0u1…uk−1uk of a graph G is a weakly toll walk if u0uk∉E(G), u0ui∈E(G) implies ui=u1, and ujuk∈E(G) implies uj=uk−1. The weakly toll interval of a set…”
Get full text
Journal Article -
12
Characterizations of graph classes via convex geometries: A survey
Published in Discrete Applied Mathematics (15-01-2025)“…Graph convexity has been used as an important tool to better understand the structure of classes of graphs. Many studies are devoted to determine if a graph…”
Get full text
Journal Article -
13
Special asteroidal quadruple on directed path graph non rooted path graph
Published in Electronic notes in discrete mathematics (05-11-2013)“…An asteroidal triple in a graph G is a set of three non-adjacent vertices such that for any two of them there exists a path between them that does not…”
Get full text
Journal Article -
14
Weakly toll convexity and proper interval graphs
Published 11-04-2024“…Discrete Mathematics & Theoretical Computer Science, vol. 26:2, Graph Theory (April 18, 2024) dmtcs:9837 A walk $u_0u_1 \ldots u_{k-1}u_k$ is a \textit{weakly…”
Get full text
Journal Article -
15
Convex geometries over induced paths with bounded length
Published 10-03-2022“…Graph convexity spaces have been studied in many contexts. In particular, some studies are devoted to determine if a graph equipped with a convexity space is a…”
Get full text
Journal Article -
16
Computing the hull and interval numbers in the weakly toll convexity
Published 13-03-2023“…A walk $u_0u_1 \ldots u_{k-1}u_k$ of a graph $G$ is a \textit{weakly toll walk} if $u_0u_k \not\in E(G)$, $u_0u_i \in E(G)$ implies $u_i = u_1$, and $u_ju_k\in…”
Get full text
Journal Article -
17
Characterizations of graph classes via convex geometries: a survey
Published 29-03-2022“…Graph convexity has been used as an important tool to better understand the structure of classes of graphs. Many studies are devoted to determine if a graph…”
Get full text
Journal Article -
18
A forbidden subgraph characterization of path graphs
Published in Electronic notes in discrete mathematics (01-06-2005)Get full text
Journal Article