Publications associées à Fully dynamic cycle-equivalence in graphs

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Coloring Intersection Graphs of Arc-Connected Sets in the Plane

Bartosz Maria Walczak, Michal Lason

A family of sets in the plane is simple if the intersection of any subfamily is arc-connected, and it is pierced by a line L if the intersection of any member with L is a nonempty segment. It is proved that the intersection graphs of simple families of com ...

Springer2014

Outerplanar graph drawings with few slopes

Bartosz Maria Walczak

We consider straight-line outerplanar drawings of outerplanar graphs in which a small number of distinct edge slopes are used, that is, the segments representing edges are parallel to a small number of directions. We prove that Delta - 1 edge slopes suffic ...

Elsevier Science Bv2014

Drawing Planar Graphs Of Bounded Degree With Few Slopes

János Pach, Balázs Keszegh, Doemoetoer Palvoelgyi

We settle a problem of Dujmovic, Eppstein, Suderman, and Wood by showing that there exists a function f with the property that every planar graph G with maximum degree d admits a drawing with noncrossing straight-line edges, using at most f(d) different sl ...

Siam Publications2013

The simplicity of planar networks

Emanuele Strano, Marc Barthélemy

Shortest paths are not always simple. In planar networks, they can be very different from those with the smallest number of turns - the simplest paths. The statistical comparison of the lengths of the shortest and simplest paths provides a non trivial and ...

Nature Publishing Group2013

Tangles and Degenerate Tangles

Andres Jacinto Ruiz Vargas

We study some variants of Conway’s thrackle conjecture. A tangle is a graph drawn in the plane such that its edges are represented by continuous arcs, and any two edges share precisely one point, which is either a common endpoint or an interior point at wh ...

Springer Berlin Heidelberg2013

Effect Analysis for Programs with Callbacks

Viktor Kuncak, Etienne Kneuss, Philippe Paul Henri Suter

We introduce a precise interprocedural effect analysis for programs with mutable state, dynamic object allocation, and dynamic dispatch. Our analysis is precise even in the presence of dynamic dispatch where the context-insensitive estimate on the number o ...

Springer Berlin Heidelberg2013

On The Queue Number Of Planar Graphs

János Pach, Fabrizio Frati

We prove that planar graphs have O(log(2) n) queue number, thus improving upon the previous O(root n) upper bound. Consequently, planar graphs admit three-dimensional straight-line crossing-free grid drawings in O(n log(8) n) volume, thus improving upon th ...

Siam Publications2013

Fabrication-aware Design with Intersecting Planar Pieces

Mark Pauly, Yuliy Gennadievich Schwartzburg

We propose a computational design approach to generate 3D models composed of interlocking planar pieces. We show how intricate 3D forms can be created by sliding the pieces into each other along straight slits, leading to a simple construction that does no ...

Blackwell Publishing2013

Fully dynamic cycle-equivalence in graphs

Graph Chatbot

Chattez avec Graph Search

Coloring Intersection Graphs of Arc-Connected Sets in the Plane

Outerplanar graph drawings with few slopes

THE NUMBER OF EDGES IN k-QUASI-PLANAR GRAPHS

Drawing Planar Graphs Of Bounded Degree With Few Slopes

The simplicity of planar networks

Tangles and Degenerate Tangles

Effect Analysis for Programs with Callbacks

On The Queue Number Of Planar Graphs

Segmenting Planar Superpixel Adjacency Graphs w.r.t. Non-planar Superpixel Affinity Graphs

Fabrication-aware Design with Intersecting Planar Pieces

Coloring Intersection Graphs of Arc-Connected Sets in the Plane

THE NUMBER OF EDGES IN k-QUASI-PLANAR GRAPHS

The simplicity of planar networks

Effect Analysis for Programs with Callbacks

On The Queue Number Of Planar Graphs

Drawing Planar Graphs Of Bounded Degree With Few Slopes

Tangles and Degenerate Tangles

Segmenting Planar Superpixel Adjacency Graphs w.r.t. Non-planar Superpixel Affinity Graphs

Fabrication-aware Design with Intersecting Planar Pieces

Outerplanar graph drawings with few slopes