Results 81 to 90 of about 161 (144)
Injective Chromatic Number of Outerplanar Graphs
An injective coloring of a graph is a vertex coloring where two vertices with common neighbor receive distinct colors. The minimum integer $k$ that $G$ has a $k-$injective coloring is called injective chromatic number of $G$ and denoted by $ _i(G)$. In this paper, the injective chromatic number of outerplanar graphs with maximum degree $ $ and girth $
Mozafari-Nia, Mahsa, Omoomi, Behnaz
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Oriented colorings of 2-outerplanar graphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esperet, Louis, Ochem, Pascal
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We define strict confluent drawing, a form of confluent drawing in which the existence of an edge is indicated by the presence of a smooth path through a system of arcs and junctions (without crossings), and in which such a path, if it exists, must be ...
David Eppstein +5 more
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Characterizations of outerplanar graphs
AbstractThe paper presents several characterizations of outerplanar graphs, some of them are counterparts of the well-known characterizations of planar graphs and the other provide very efficient tools for outerplanarity testing, coding (i.e. isomorphism testing), and counting such graphs.
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Not every directed acyclic graph (DAG) whose underlying undirected graph is planar admits an upward planar drawing. We are interested in pushing the notion of upward drawings beyond planarity by considering upward $k$-planar drawings of DAGs in which the
Patrizio Angelini +10 more
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Special Issue Dedicated to the 16th International Symposium on Parameterized and Exact Computation. [PDF]
Golovach PA, Zehavi M.
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Odd 4-Coloring of Outerplanar Graphs
A proper $k$-coloring of $G$ is called an odd coloring of $G$ if for every vertex $v$, there is a color that appears at an odd number of neighbors of $v$. This concept was introduced recently by Petruševski and Škrekovski, and they conjectured that every planar graph is odd 5-colorable.
Kashima, Masaki, Zhu, Xuding
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Definability Equals Recognizability for $k$-Outerplanar Graphs
40 pages, 8 ...
Jaffke, Lars, Bodlaender, Hans L.
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Outerplanar Graphs and Delaunay Triangulations [PDF]
Dillencourt [1] showed that all maximal outerplanar graphs can be realized as Delaunay triangulations of points in convex position. In this note, we give two new, alternate proofs.
Alam, Ashraful +2 more
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Non-Preemptive Tree Packing. [PDF]
Lendl S, Woeginger G, Wulf L.
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