Results 1 to 10 of about 818,578 (247)
Algorithms for generalized vertex-rankings of partial k-trees
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Md. Abul Kashem+2 more
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The complexity of subgraph isomorphism for classes of partial k-trees
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Arvind Gupta, Naomi Nishimura
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Transversals of Longest Cycles in Partial $k$-Trees and Chordal Graphs [PDF]
AbstractLet be the minimum cardinality of a set of vertices that intersects every longest cycle of a 2‐connected graph . We show that if is a partial ‐tree and that if is chordal, where is the cardinality of a maximum clique in . Those results imply that all longest cycles intersect in 2‐connected series‐parallel graphs and in 3‐trees.
Juan Gutiérrez
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On some optimization problems on k-trees and partial k-trees
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Daniel Granot, Darko Skorin‐Kapov
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Efficient sets in partial k-trees
The efficiency of a graph is the maximum number of vertices uniquely dominated by a subset of vertices in the graph. In this paper, a linear time algorithm is developed for finding the efficiency of a partial \(k\)- tree given its embedding in a \(k\)-tree.
Jan Arne Telle, Andrzej Proskurowski
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The inverse inertia problem for the complements of partial k -trees
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Hein van der Holst
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On the complexity of finding iso- and other morphisms for partial k-trees
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Jiřı́ Matoušek, Robin Thomas
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Counting H-Colorings of Partial k-Trees [PDF]
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Josep Dı́az+2 more
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Maximum packing for k-connected partial k-trees in polynomial time
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Anders Dessmark+2 more
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Completely independent spanning trees in (partial) k-trees
Two spanning trees T1 and T2 of a graph G are completely independent if, for any two vertices u and v, the paths from u to v in T1 and T2 are internally disjoint. For a graph G, we denote the maximum number of pairwise completely independent spanning trees by cist(G). In this paper, we consider cist(G) when G is a partial k-tree.
Toru Araki, M. Matsushita, Yota Otachi
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