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On Triangulating Planar Graphs under the Four-Connectivity Constraint

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/jgt.3190140105openalex-snapshot
Hamiltonian cycles in planar triangulations with no separating triangles
inferredcites →https://doi.org/10.1007/3-540-57899-4_69openalex-snapshot
Two algorithms for finding rectangular duals of planar graphs
inferredcites →https://doi.org/10.1007/3-540-57899-4_70openalex-snapshot
A more compact visibility representation
inferredcites →https://doi.org/10.1007/978-3-322-92106-2openalex-snapshot
Combinatorial Algorithms for Integrated Circuit Layout
inferredcites →https://doi.org/10.1007/bfb0032061openalex-snapshot
On-line graph algorithms with SPQR-trees
inferredcites →https://doi.org/10.1016/0304-3975(76)90059-1openalex-snapshot
Some simplified NP-complete graph problems
inferredcites →https://doi.org/10.1016/s0925-7721(96)00003-xopenalex-snapshot
Triangulating with high connectivity
inferredcites →https://doi.org/10.1109/sfcs.1989.63515openalex-snapshot
Incremental planarity testing
inferredcites →https://doi.org/10.1109/sfcs.1991.185418openalex-snapshot
A linear time algorithm for triconnectivity augmentation
inferredcites →https://doi.org/10.1109/sfcs.1991.185451openalex-snapshot
On-line maintenance of the four-connected components of a graph
inferredcites →https://doi.org/10.1109/sfcs.1992.267817openalex-snapshot
On four-connecting a triconnected graph
inferredcites →https://doi.org/10.1109/tct.1969.1083004openalex-snapshot
The Design of Minimum-Cost Survivable Networks
inferredcites →https://doi.org/10.1109/tct.1970.1083185openalex-snapshot
Connectivity considerations in the design of survivable networks
inferredcites →https://doi.org/10.1137/0132071openalex-snapshot
The Rectilinear Steiner Tree Problem is $NP$-Complete
inferredcites →https://doi.org/10.1137/0214017openalex-snapshot
Arboricity and Subgraph Listing Algorithms
inferredcites →https://doi.org/10.1137/0222056openalex-snapshot
Finding a Smallest Augmentation to Biconnect a Graph
inferredcites →https://doi.org/10.1142/9789812791245openalex-snapshot
Data Structures and Algorithms
inferredcites →https://doi.org/10.5555/313651.313830openalex-snapshot
Subgraph isomorphism in planar graphs and related problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Fixed-Parameter Algorithms for Protein Similarity Search Under mRNA Structure Constraints
inferred← citeshttps://doi.org/10.1007/11618058_17openalex-snapshot
Transversal Structures on Triangulations, with Application to Straight-Line Drawing
inferred← citeshttps://doi.org/10.1007/11880561_24openalex-snapshot
How to Compare Arc-Annotated Sequences: The Alignment Hierarchy
inferred← citeshttps://doi.org/10.1007/3-540-45061-0_4openalex-snapshot
The SPQR-Tree Data Structure in Graph Drawing
inferred← citeshttps://doi.org/10.1007/3-540-46648-7_37openalex-snapshot
Rectangle of Influence Drawings of Graphs without Filled 3-Cycles
inferred← citeshttps://doi.org/10.1007/3-540-46784-x_27openalex-snapshot
All Separating Triangles in a Plane Graph Can Be Optimally “Broken” in Poly nomial Time
inferred← citeshttps://doi.org/10.1007/3-540-48224-5_37openalex-snapshot
The Longest Common Subsequence Problem for Sequences with Nested Arc Annotations
inferred← citeshttps://doi.org/10.1007/978-1-4614-0110-0_9openalex-snapshot
Drawing Trees, Outerplanar Graphs, Series-Parallel Graphs, and Planar Graphs in a Small Area
inferred← citeshttps://doi.org/10.1007/978-3-030-10801-4_21openalex-snapshot
On Point Set Embeddings for k-Planar Graphs with Few Bends per Edge
inferred← citeshttps://doi.org/10.1007/978-3-030-25005-8_15openalex-snapshot
Reaching 3-Connectivity via Edge-Edge Additions
inferred← citeshttps://doi.org/10.1007/978-3-032-17801-5_36openalex-snapshot
Face-Hitting Dominating Sets in Plane Graphs: Alternative Proof and Linear-Time Algorithm
inferred← citeshttps://doi.org/10.1007/978-3-319-50106-2_11openalex-snapshot
Non-aligned Drawings of Planar Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-70904-6_15openalex-snapshot
Open Rectangle-of-Influence Drawings of Inner Triangulated Plane Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-73731-5_10openalex-snapshot
Comparing RNA Structures: Towards an Intermediate Model Between the Edit and the Lapcs Problems
inferred← citeshttps://doi.org/10.1007/978-3-540-74450-4_13openalex-snapshot
Extending the Hardness of RNA Secondary Structure Comparison
inferred← citeshttps://doi.org/10.1007/978-3-540-77050-3_33openalex-snapshot
Reconstructing Convex Polygons and Polyhedra from Edge and Face Counts in Orthogonal Projections
inferred← citeshttps://doi.org/10.1007/978-3-642-32241-9_26openalex-snapshot
Simultaneous Embeddings with Vertices Mapping to Pre-specified Points
inferred← citeshttps://doi.org/10.1007/978-3-642-36763-2_10openalex-snapshot
Open Rectangle-of-Influence Drawings of Non-triangulated Planar Graphs
inferred← citeshttps://doi.org/10.1007/978-3-662-53174-7_30openalex-snapshot
Triangulating Planar Graphs While Keeping the Pathwidth Small
inferred← citeshttps://doi.org/10.1007/s00453-018-0433-6openalex-snapshot
Guarding Orthogonal Art Galleries with Sliding k-Transmitters: Hardness and Approximation
inferred← citeshttps://doi.org/10.1007/s00453-025-01350-8openalex-snapshot
Recognition Complexity of Subgraphs of $${\textbf {k}}$$-Connected Planar Cubic Graphs
inferred← citeshttps://doi.org/10.1007/s00454-008-9098-2openalex-snapshot
Open Rectangle-of-Influence Drawings of Inner Triangulated Plane Graphs
inferred← citeshttps://doi.org/10.1016/j.autcon.2021.103718openalex-snapshot
A tool for computer-generated dimensioned floorplans based on given adjacencies
inferred← citeshttps://doi.org/10.1016/j.comgeo.2010.07.001openalex-snapshot
Closed rectangle-of-influence drawings for irreducible triangulations
inferred← citeshttps://doi.org/10.1016/j.comgeo.2014.11.001openalex-snapshot
Flip distance between two triangulations of a point set is NP-complete
inferred← citeshttps://doi.org/10.1016/j.dam.2014.10.017openalex-snapshot
On triangulating k -outerplanar graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2007.12.093openalex-snapshot
Transversal structures on triangulations: A combinatorial study and straight-line drawings
inferred← citeshttps://doi.org/10.1016/j.jda.2008.03.004openalex-snapshot
Fixed-parameter algorithms for protein similarity search under mRNA structure constraints
inferred← citeshttps://doi.org/10.1016/j.tcs.2012.02.010openalex-snapshot
Compact visibility representation of 4-connected plane graphs
inferred← citeshttps://doi.org/10.1016/s0022-0000(02)00004-1openalex-snapshot
The longest common subsequence problem for sequences with nested arc annotations
inferred← citeshttps://doi.org/10.1017/s0963548323000135openalex-snapshot
Universal geometric graphs
inferred← citeshttps://doi.org/10.1109/iscc.2006.167openalex-snapshot
Visualizing and Managing Network Topologies via Rectangular Dualization
inferred← citeshttps://doi.org/10.1109/tcbb.2008.28openalex-snapshot
Alignments of RNA Structures
inferred← citeshttps://doi.org/10.1142/9789812709394_0004openalex-snapshot
RECTANGULAR DUALIZATION OF BICONNECTED PLANAR GRAPHS IN LINEAR TIME AND RELATED APPLICATIONS
inferred← citeshttps://doi.org/10.1142/s0218195911003627openalex-snapshot
RECONSTRUCTING CONVEX POLYGONS AND CONVEX POLYHEDRA FROM EDGE AND FACE COUNTS IN ORTHOGONAL PROJECTIONS
inferred← citeshttps://doi.org/10.1145/1133265.1133356openalex-snapshot
Euclidean representation of 3D electronic institutions
inferred← citeshttps://doi.org/10.1145/1328911.1328919openalex-snapshot
Rectangular layouts and contact graphs
inferred← citeshttps://doi.org/10.1145/276884.276917openalex-snapshot
Drawing planar partitions I
inferred← citeshttps://doi.org/10.20535/2411-2976.22023.40-52openalex-snapshot
PRUNING MINIMUM SPANNING TREES AND CUTTING LONGEST EDGES TO CONNECT A GIVEN NUMBER OF NODES BY MINIMIZING TOTAL EDGE LENGTH
inferred← citeshttps://doi.org/10.46298/dmtcs.2085openalex-snapshot
On the number of regular edge labelings
inferred← citeshttps://doi.org/10.48550/arxiv.1505.04235openalex-snapshot
Triangulating planar graphs while keeping the pathwidth small
inferred← citeshttps://doi.org/10.48550/arxiv.1606.02220openalex-snapshot
Non-aligned drawings of planar graphs
inferred← citeshttps://doi.org/10.48550/arxiv.2008.01803openalex-snapshot
GPLAN: Computer-Generated Dimensioned Floorplans for given Adjacencies
inferred← citeshttps://doi.org/10.48550/arxiv.math/0602163openalex-snapshot
Transversal structures on triangulations: a combinatorial study and straight-line drawings
inferred← citeshttps://doi.org/10.70675/915790c9z1594z4e9czab64zab385caa09d0openalex-snapshot
Planar graphs : non-aligned drawings, power domination and enumeration of Eulerian orientations
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