All-Path Convexity: Two Characterizations, General Position Number, And One Algorithm
Year:
2024Published in:
Discrete Mathematics LettersWe present two characterizations for the all-path convex sets in graphs. Using the first criterion, we obtain a new characterization of connected block graphs and compute the general position number in a graph with respect to the all-path convexity. The second criterion allows us to provide a new algorithm for testing a set on all-path convexity.
Related by author
26 publications found
Markov Graphs Of One–Dimensional Dynamical Systems And Their Discrete Analogues
Publisher: Romanian Journal of Mathematics and Computer Science
Authors: Sergiy Kozerenko
A Note On The Triameter Of Graphs
Publisher: Discrete Applied Mathematics
Authors: Sergiy Kozerenko, Artem Hak, Bohdana Oliynyk
Linear And Metric Maps On Trees Via Markov Graphs
Publisher: Commentationes Mathematicae Universitatis Carolinae
Authors: Sergiy Kozerenko
Graphs With Odd And Even Distances Between Non‑Cut Vertices
Publisher: Opuscula Mathematica
Authors: Sergiy Kozerenko, Kateryna Antoshyna
Unique Eccentric Point Graphs Of Diameter At Most Four
Publisher: XV Ukraine Algebra Conference
Authors: Sergiy Kozerenko, Vladyslav Haponenko, Artem Hak, Andrii Serdiuk
An Optimal Lower Bound For The Size Of Periodic Digraphs
Publisher: Discrete Mathematics Letters
Authors: Sergiy Kozerenko
Dynamical Structure Of Metric And Linear Self‑Maps On Combinatorial Trees
Publisher: Discrete Mathematics Letters
Authors: Sergiy Kozerenko
On Graphs With Graphic Imbalance Sequences
Publisher: Київський національний університет імені Тараса Шевченка
Authors: Sergiy Kozerenko, Volodymyr Skochko
Unique Eccentric Point Graphs And Their Eccentric Digraphs
Publisher: Discrete Mathematics
Authors: Sergiy Kozerenko, Artem Hak, Vladyslav Haponenko, Andrii Serdiuk
New Results On Imbalance Graphic Graphs
Publisher: Opuscula Mathematica
Authors: Sergiy Kozerenko, Andrii Serdiuk