Results 71 to 80 of about 16,950 (147)
On dominating sets of maximal outerplanar graphs
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Campos, C.N., Wakabayashi, Y.
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Maximal outerplanar graphs as chordal graphs, path-neighborhood graphs, and triangle graphs [PDF]
Maximal outerplanar graphs are characterized using three different classes of graphs. A path-neighborhood graph is a connected graph in which every neighborhood induces a path. The triangle graph $T(G)$ has the triangles of the graph $G$ as its vertices,
Laskar, R.C., Mulder, H.M., Novick, B.
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Storage Capacity as an Information-Theoretic Vertex Cover and the Index Coding Rate
Motivated by applications in distributed storage, the storage capacity of a graph was recently defined to be the maximum amount of information that can be stored across the vertices of a graph such that the information at any vertex can be recovered from
Mazumdar, Arya +2 more
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Frequent Subgraph Mining in Outerplanar Graphs [PDF]
In recent years there has been an increased interest in frequent pattern discovery in large databases of graph structured objects. While the frequent connected subgraph mining problem for tree datasets can be solved in incremental polynomial time, it ...
Horvath, Tamas +2 more
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A node-capacitated Okamura-Seymour theorem
The classical Okamura-Seymour theorem states that for an edge-capacitated, multi-commodity flow instance in which all terminals lie on a single face of a planar graph, there exists a feasible concurrent flow if and only if the cut conditions are ...
Lee, James R. +2 more
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Centroidal localization game [PDF]
One important problem in a network is to locate an (invisible) moving entity by using distance-detectors placed at strategical locations. For instance, the metric dimension of a graph $G$ is the minimum number $k$ of detectors placed in some vertices ...
Bosek, Bartłomiej +5 more
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Location in maximal outerplanar graphs
In this work we study the metric dimension and the location-domination number of maximal outerplanar graphs. Concretely, we determine tight upper and lower bounds on the metric dimension and characterize those maximal outerplanar graphs attaining the lower bound. We also give a lower bound on the location-domination number
Claverol Aguas, Mercè +6 more
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Dominating sets of maximal outerplanar graphs
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Algorithm on rainbow connection for maximal outerplanar graphs
In this paper, we consider rainbow connection number of maximal outerplanar graphs(MOPs) on algorithmic aspect. For the (MOP) $G$, we give sufficient conditions to guarantee that $rc(G) = diam(G).$ Moreover, we produce the graph with given diameter $d$ and give their rainbow coloring in linear time. X.Deng et al.
Deng, Xingchao +2 more
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Edge Roman domination on graphs
An edge Roman dominating function of a graph $G$ is a function $f\colon E(G) \rightarrow \{0,1,2\}$ satisfying the condition that every edge $e$ with $f(e)=0$ is adjacent to some edge $e'$ with $f(e')=2$.
Chang, Gerard J. +2 more
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