Results 181 to 190 of about 1,056 (209)
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On list‐coloring outerplanar graphs
Journal of Graph Theory, 2008AbstractWe prove that a 2‐connected, outerplanar bipartite graph (respectively, outerplanar near‐triangulation) with a list of colors L (v ) for each vertex v such that $|L(v)|\geq\min\{{\deg}(v),4\}$ (resp., $|L(v)|\geq{\min}\{{\deg}(v),5\}$) can be L‐list‐colored (except when the graph is K3 with identical 2‐lists).
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An algorithm for outerplanar graphs with parameter
Journal of Algorithms, 1991Summary: For \(n\)-vertex outerplanar graphs, it is proven that \(O(n^{2.87})\) is an upper bound on the number of breakpoints of the function which gives the maximum weight of an independent set, where the vertex weights vary as linear functions of a parameter. An \(O(n^{2.87})\) algorithm for finding the solution is proposed.
Binghuan Zhu, Wayne Goddard
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Approximating the pathwidth of outerplanar graphs
Information Processing Letters, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rajeev Govindan +2 more
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Independent covers in outerplanar graphs
1988A subset U of vertices of a plane graph is said to be a perfect face-independent vertex cover (FIVC) if and only if each face has exactly one vertex in U. Necessary and sufficient conditions for a maximal plane graph to have a perfect FIVC are derived.
Maciej M. Syslo, Pawel Winter
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Centers of maximal outerplanar graphs
Journal of Graph Theory, 1980AbstractThe center of a graph is defined to be the subgraph induced by the set of vertices that have minimum eccentricities (i.e., minimum distance to the most distant vertices). It is shown that only seven graphs can be centers of maximal outerplanar graphs.
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The outerplanar crossing number of the complete bipartite graph
Discrete Applied Mathematics, 2022Silvia Fernández-Merchant
exaly
Outerplanar graph drawings with few slopes
Computational Geometry: Theory and Applications, 2014Kolja Knauer +2 more
exaly
COLORING THE SQUARE OF AN OUTERPLANAR GRAPH
Taiwanese Journal of Mathematics, 2006Ko-Wei Lih, Wei-Fan Wang
exaly
The surviving rate of an outerplanar graph for the firefighter problem
Theoretical Computer Science, 2011Weifan Wang
exaly

