Results 71 to 80 of about 162 (144)

𝒫-Apex Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
Let 𝒫 be an arbitrary class of graphs that is closed under taking induced subgraphs and let 𝒞 (𝒫) be the family of forbidden subgraphs for 𝒫. We investigate the class 𝒫 (k) consisting of all the graphs G for which the removal of no more than k vertices ...
Borowiecki Mieczysław   +2 more
doaj   +1 more source

Non-Preemptive Tree Packing. [PDF]

open access: yesAlgorithmica, 2023
Lendl S, Woeginger G, Wulf L.
europepmc   +1 more source

The complexity of frugal colouring. [PDF]

open access: yesArab J Math, 2021
Bard S, MacGillivray G, Redlin S.
europepmc   +1 more source

On reconstructing maximal outerplanar graphs

open access: yesDiscrete Mathematics, 1974
Manvel has proved that a maximal outerplanar graph can be reconstructed from the collection of isomorphism types of subgraphs obtained by deleting vertices of the given graph. This paper sharpens Manvel's result by showing that if the graph is not a triangulation of a hexagon, then reconstruction can be accomplished using only those isomorphism types ...
openaire   +1 more source

Horizontal visibility graph of a random restricted growth sequence. [PDF]

open access: yesAdv Appl Math, 2021
Mansour T, Rastegar R, Roitershtein A.
europepmc   +1 more source

Reconstruction of maximal outerplanar graphs

open access: yesDiscrete Mathematics, 1972
AbstractS. Ulam has conjectured that every graph with three or more points is uniquely determined by its collection of point-deleted subgraphs. This has been proved for various classes of graphs, but progress has generally been confined to very symmetrical graphs and graphs with connectivity zero or one.
openaire   +2 more sources

A note on compact and compact circular edge-colorings of graphs

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
In the paper we study two variants of edge-coloring of edge-weighted graphs, namely compact edge-coloring and circular compact edge-coloring. First, we discuss relations between these two coloring models.
Dariusz Dereniowski, Adam Nadolski
doaj  

An Exact Algorithm for Counting the Number of Independent Sets of a Graph

open access: yesMathematics
For a graph G of a degree greater than or equal to 3, counting the number of independent sets (denoted as i(G)) is a classical #P-complete problem. Here, we establish a new worst-case upper bound time complexity for computing i(G) for any non-constraint ...
Guillermo De Ita Luna   +3 more
doaj   +1 more source

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