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Marcos Cossarini

dblp:242/5204 · DBLP profile ↗
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1ranked-venue papers
0as first author
0since 2021 · last 2019
—ORCID · none

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 1

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
1 paper
Graph algorithms and graph theory · 50% Computational geometry · 50%

Topics — the 4 heaviest of 4, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Computational geometry › curve representation › curve approximation
curve simplification
0.412019
Lower Bounds for Electrical Reduction on Surfaces · SoCG 2019
Graph algorithms and graph theory
topological graph theory
0.412019
Lower Bounds for Electrical Reduction on Surfaces · SoCG 2019
Computational geometry
graph drawing
0.112019
Lower Bounds for Electrical Reduction on Surfaces · SoCG 2019
Graph algorithms and graph theory
planar graphs
0.112019
Lower Bounds for Electrical Reduction on Surfaces · SoCG 2019

Methods — techniques the papers use, named apart from their topics

medial graph · 0.4homotopy · 0.4
YearPublicationVenuePosition
2019 Lower Bounds for Electrical Reduction on Surfaces
abstract
We strengthen the connections between electrical transformations and homotopy from the planar setting - observed and studied since Steinitz - to arbitrary surfaces with punctures. As a result, we improve our earlier lower bound on the number of electrical transformations required to reduce an n-vertex graph on surface in the worst case [SOCG 2016] in two different directions. Our previous Omega(n^{3/2}) lower bound applies only to facial electrical transformations on plane graphs with no terminals. First we provide a stronger Omega(n^2) lower bound when the planar graph has two or more terminals, which follows from a quadratic lower bound on the number of homotopy moves in the annulus. Our second result extends our earlier Omega(n^{3/2}) lower bound to the wider class of planar electrical transformations, which preserve the planarity of the graph but may delete cycles that are not faces of the given embedding. This new lower bound follow from the observation that the defect of the medial graph of a planar graph is the same for all its planar embeddings.
Hsien-Chih Chang, Marcos Cossarini, Jeff Erickson 0001
SoCG2