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Chordal Graphs, Even‐Hole‐Free Graphs and Sparse Obstructions to Bounded Treewidth
Journal of Graph TheoryEven‐hole‐free graphs pose a central challenge in identifying hereditary classes of bounded treewidth. We investigate this matter by presenting and studying the following conjecture: for an integer t ≥ 4 and a graph H , every even‐hole‐free graph of ...
Sepehr Hajebi
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4‐Connected 1‐Planar Chordal Graphs Are Hamiltonian‐Connected
Journal of Graph TheoryTutte proved that 4‐connected planar graphs are Hamiltonian. It is unknown if there is an analogous result on 1‐planar graphs. In this paper, we characterize 4‐connected 1‐planar chordal graphs and show that all such graphs are Hamiltonian‐connected.
Licheng Zhang +3 more
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Efficient Enumeration of Maximal k-Degenerate Subgraphs in a Chordal Graph
International Computing and Combinatorics Conference, 2017A. Conte +4 more
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Contracting a Chordal Graph to a Split Graph or a Tree
International Symposium on Mathematical Foundations of Computer Science, 2011P. Golovach, M. Kaminski, D. Paulusma
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IEEE/ACM Transactions on Computational Biology & Bioinformatics, 2011
Rob Gysel, D. Gusfield
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Rob Gysel, D. Gusfield
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Powers of the Vertex Cover Ideal of a Chordal Graph
, 2011F. Mohammadi
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A Linear-Time Algorithm for Finding a Central Vertex of a Chordal Graph
Embedded Systems and Applications, 1994V. Chepoi, F. Dragan
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Minimal Elimination Ordering Inside a Given Chordal Graph
International Workshop on Graph-Theoretic Concepts in Computer Science, 1997E. Dahlhaus
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Enumeration of Perfect Sequences of Chordal Graph
International Symposium on Algorithms and Computation, 2008Yasuko Matsui, Ryuhei Uehara, T. Uno
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