Results 91 to 100 of about 1,769 (162)
Generalized outerplanar index of a graph [PDF]
summary:We define the generalized outerplanar index of a graph and give a full characterization of graphs with respect to this ...
Barati, Zahra
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A linear algorithm to recognize maximal generalized outerplanar graphs [PDF]
summary:In this work, we get a combinatorial characterization for maximal generalized outerplanar graphs (mgo graphs).
Márquez Pérez, Alberto +2 more
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Triangle-Free Outerplanar 3-Graphs are Pairwise Compatibility Graphs
A graph G = (V,E) is called a pairwise compatibility graph (PCG) if there exists an edge-weighted tree T and two non-negative real numbers dmin and dmax such that each vertex u′ ∈ V corresponds to a leaf u of T and there is an edge (u′, v′) ∈ E if and
Sammi Abida Salma +2 more
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A graph and its complement with specified properties I: connectivity
We investigate the conditions under which both a graph G and its complement G¯ possess a specified property. In particular, we characterize all graphs G for which G and G¯ both (a) have connectivity one, (b) have line-connectivity one, (c) are 2 ...
Jin Akiyama, Frank Harary
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A fuzzy graph theoretic approach to face shape recognition using cubic outerplanar structures
The well-known topic of crisp graph planarity is contrasted with the more new and thoroughly studied field of planarity inside a fuzzy framework. In cubic fuzzy domain, cubic multisets with interval and fuzzy number to capture vagueness.
Deivanai Jaisankar +2 more
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A planar graph is said to be zonal when is possible to label its vertices with the nonzero elements of ℤ3, in such a way that the sum of the labels of the vertices on the boundary of each zone is 0 in ℤ3.
Christian Barrientos, Sarah Minion
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Star Coloring Outerplanar Bipartite Graphs
A proper coloring of the vertices of a graph is called a star coloring if at least three colors are used on every 4-vertex path. We show that all outerplanar bipartite graphs can be star colored using only five colors and construct the smallest known ...
Ramamurthi Radhika, Sanders Gina
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On the Planarity of Generalized Line Graphs
One of the most familiar derived graphs is the line graph. The line graph $L(G)$ of a graph $G$ is that graph whose vertices are the edges of $G$ where two vertices of $L(G)$ are adjacent if the corresponding edges are adjacent in~$G$.
Khawlah H. Alhulwah +2 more
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Subgraph Homeomorphism via the Edge Addition Planarity Algorithm
This paper extends the edge addition planarity algorithm from Boyer and Myrvold to provide a new way of solving the subgraph homeomorphism problem for K2,3, K4, and K3,3.
John Boyer
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