Results 131 to 140 of about 211 (163)
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Augmenting Outerplanar Graphs

Journal of Algorithms, 1996
Summary: We show that for outerplanar graphs \(G\) the problem of augmenting \(G\) by adding a minimum number of edges such that the augmented graph \(G'\) is planar and bridge-connected, biconnected, or triconnected can be solved in linear time and space.
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Augmenting the Connectivity of Outerplanar Graphs

Algorithmica, 2008
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Alfredo García Olaverri   +3 more
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On the Orthogonal Drawing of Outerplanar Graphs

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2004
In this paper we show that an outerplanar graph G with maximum degree at most 3 has a 2-D orthogonal drawing with no bends if and only if G contains no triangles. We also show that an outerplanar graph G with maximum degree at most 6 has a 3-D orthogonal drawing with no bends if and only if G contains no triangles.
Kumiko Nomura   +2 more
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A characterization of ?-outerplanar graphs

Journal of Graph Theory, 1996
Chartrand and Harary have shown that if G is a non-outerplanar graph such that, for every edge e, both the deletion G\e and the contraction G/e of e from G are outerplanar, then G is isomorphic to K4 or K2,3. An α-outerplanar graph is a graph which is not outerplanar such that, for some edge α, both G\α and G/α are outerplanar.
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Independent domination in outerplanar graphs

Discrete Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wayne Goddard, Michael A. Henning
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The $$p-$$Arboricity of Outerplanar Graphs

Graphs and Combinatorics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mingyuan Ma, Han Ren
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The decycling number of outerplanar graphs

Journal of Combinatorial Optimization, 2012
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Huilan Chang, Hung-Lin Fu, Min-Yun Lien
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On list‐coloring outerplanar graphs

Journal of Graph Theory, 2008
AbstractWe 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, 1991
Summary: 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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