Results 101 to 110 of about 969,499 (193)
Chromatic Sums for Colorings Avoiding Monochromatic Subgraphs
Discussiones Mathematicae Graph Theory, 2015 Given graphs G and H, a vertex coloring c : V (G) →ℕ is an H-free coloring of G if no color class contains a subgraph isomorphic to H. The H-free chromatic number of G, χ (H,G), is the minimum number of colors in an H-free coloring of G.
Kubicka Ewa +2 more
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Rainbow subgraphs in edge-colored planar and outerplanar graphs [PDF]
Discrete Mathematics Letters, 2023 Július Czap
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The complexity of frugal colouring. [PDF]
Arab J Math, 2021 Bard S, MacGillivray G, Redlin S.
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On reconstructing maximal outerplanar graphs
Discrete 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 ...
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Horizontal visibility graph of a random restricted growth sequence. [PDF]
Adv Appl Math, 2021 Mansour T, Rastegar R, Roitershtein A.
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Reconstruction of maximal outerplanar graphs
Discrete 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.
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A note on compact and compact circular edge-colorings of graphs
Discrete 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
MathematicsFor 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
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Clustering systems of phylogenetic networks. [PDF]
Theory Biosci, 2023 Hellmuth M, Schaller D, Stadler PF.
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The Canadian Traveller Problem on outerplanar graphs
CoRRWe study the $k$-Canadian Traveller Problem, where a weighted graph $G=(V,E,ω)$ with a source $s\in V$ and a target $t\in V$ are given. This problem also has a hidden input $E_* \subsetneq E$ of cardinality at most $k$ representing blocked edges. The objective is to travel from $s$ to $t$ with the minimum distance.
Beaudou, Laurent +7 more
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