Search Results - "Silvia Tondato"

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    Walk Domination and HHD-Free Graphs by Tondato, Silvia B.

    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…”
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    Journal Article
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    Weakly toll convexity and proper interval graphs by Dourado, Mitre C., Gutierrez, Marisa, Protti, Fábio, Tondato, Silvia

    “…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 $S$…”
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    On Models of Directed Path Graphs Non Rooted Directed Path Graphs by Gutierrez, Marisa, Tondato, Silvia B.

    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…”
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    End Simplicial Vertices in Path Graphs by Gutierrez, Marisa, Tondato, Silvia B.

    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…”
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    Asteroidal Quadruples in non Rooted Path Graphs by Gutierrez, Marisa, Lévêque, Benjamin, Tondato, Silvia B.

    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…”
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    Convex geometries over induced paths with bounded length by Gutierrez, Marisa, Protti, Fábio, Tondato, Silvia B.

    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)…”
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    Computing the hull and interval numbers in the weakly toll convexity by Dourado, Mitre C., Gutierrez, Marisa, Protti, Fábio, Tondato, Silvia

    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…”
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    Characterizations of graph classes via convex geometries: A survey by Dourado, Mitre C., Gutierrez, Marisa, Protti, Fábio, Sampaio, Rudini, Tondato, Silvia

    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…”
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    Special asteroidal quadruple on directed path graph non rooted path graph by Gutierrez, Marisa, Tondato, Silvia B.

    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…”
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    Weakly toll convexity and proper interval graphs by Dourado, Mitre C, Gutierrez, Marisa, Protti, Fábio, Tondato, Silvia

    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…”
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    Convex geometries over induced paths with bounded length by Gutierrez, Marisa, Protti, Fábio, Tondato, Silvia B

    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…”
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    Computing the hull and interval numbers in the weakly toll convexity by Dourado, Mitre C, Gutierrez, Marisa, Protti, Fábio, Tondato, Silvia

    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…”
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    Journal Article
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    Characterizations of graph classes via convex geometries: a survey by Dourado, Mitre C, Gutierrez, Marisa, Protti, Fábio, Sampaio, Rudini, Tondato, Silvia

    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…”
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    Journal Article
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