Results 111 to 120 of about 3,997 (179)
On reconstructing maximal outerplanar graphs
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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Choosability with separation of cycles and outerplanar graphs
Jean-Christophe Godin, Oliver Togni
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Equitable colorings of outerplanar graphs
A proper vertex coloring of a graph \(G\) is said to be equitable if the sizes of any two color classes differ by at most 1. It was conjectured by \textit{H. P. Yap} and \textit{Y. Zhang} [Bull. Inst. Math., Acad. Sin. 25, 143-149 (1997; Zbl 0882.05054)] that every outerplanar graph with maximum degree at most \(\Delta\) admits an equitable \(k ...
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Clustering systems of phylogenetic networks. [PDF]
Hellmuth M, Schaller D, Stadler PF.
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A note on compact and compact circular edge-colorings of graphs
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
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Structure Properties of Generalized Farey graphs based on Dynamical Systems for Networks. [PDF]
Jiang W, Zhai Y, Martin P, Zhao Z.
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Comparison and enumeration of chemical graphs. [PDF]
Akutsu T, Nagamochi H.
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