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Multi-label image classification is a prediction task that aims to identify more than one label from a given image. This paper considers the semantic consistency of the latent space between the visual patch and linguistic label domains and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Miaoge Li , Dongsheng Wang , Xinyang Liu , Zequn Zeng , Ruiying Lu , Bo Chen , Mingyuan Zhou

We define a special case of tree decompositions for planar graphs that respect a given embedding of the graph. We study the analogous width of the resulting decomposition we call the embedded-width of a plane graph. We show both upper…

Discrete Mathematics · Computer Science 2017-03-23 Glencora Borradaile , Jeff Erickson , Hung Le , Robbie Weber

The embedding problem is to decide, given an ordered pair of structures, whether or not there is an injective homomorphism from the first structure to the second. We study this problem using an established perspective in parameterized…

Computational Complexity · Computer Science 2017-01-09 Hubie Chen , Moritz Müller

In this paper we look at the problem of adjacency labeling of graphs. Given a family of undirected graphs the problem is to determine an encoding-decoding scheme for each member of the family such that we can decode the adjacency…

Discrete Mathematics · Computer Science 2022-01-27 Avah Banerjee

Topological drawings are natural representations of graphs in the plane, where vertices are represented by points, and edges by curves connecting the points. Topological drawings of complete graphs and of complete bipartite graphs have been…

Computational Geometry · Computer Science 2017-02-10 Jean Cardinal , Stefan Felsner

Ray intersection graphs are intersection graphs of rays, or halflines, in the plane. We show that any planar graph has an even subdivision whose complement is a ray intersection graph. The construction can be done in polynomial time and…

Computational Geometry · Computer Science 2011-11-28 Sergio Cabello , Jean Cardinal , Stefan Langerman

Multi-label learning is concerned with the classification of data with multiple class labels. This is in contrast to the traditional classification problem where every data instance has a single label. Due to the exponential size of output…

Machine Learning · Computer Science 2018-12-27 Vikas Kumar , Arun K Pujari , Vineet Padmanabhan , Venkateswara Rao Kagita

We consider the following problem : we have a high-resolution street network of a given city, and low-resolution measurements of traffic within this city. We want to associate to each measurement the set of streets corresponding to the…

Social and Information Networks · Computer Science 2024-05-24 Bastien Legay , Matthieu Latapy

In the literature, the notion of discrepancy is used in several contexts, even in the theory of graphs. Here, for a graph $G$, $\{-1, 1\}$ labels are assigned to the edges, and we consider a family $\mathcal{S}_G$ of (spanning) subgraphs of…

Combinatorics · Mathematics 2020-02-28 József Balogh , Béla Csaba , Yifan Jing , András Pluhár

A network embedding is a representation of a large graph in a low-dimensional space, where vertices are modeled as vectors. The objective of a good embedding is to preserve the proximity between vertices in the original graph. This way,…

Artificial Intelligence · Computer Science 2017-01-20 Zhipeng Huang , Nikos Mamoulis

Place classification is a fundamental ability that a robot should possess to carry out effective human-robot interactions. It is a nontrivial classification problem which has attracted many research. In recent years, there is a high…

Robotics · Computer Science 2015-06-15 Yiyi Liao , Sarath Kodagoda , Yue Wang , Lei Shi , Yong Liu

Many complex questions in biology, physics, and mathematics can be mapped to the graph isomorphism problem and the closely related graph automorphism problem. In particular, these problems appear in the context of network visualization,…

Data Structures and Algorithms · Computer Science 2012-11-14 Charo I. Del Genio , Thilo Gross

This paper describes a fast approach to automatic point label de-confliction on interactive maps. The general Map Labeling problem is NP-hard and has been the subject of much study for decades. Computerized maps have introduced interactive…

Data Structures and Algorithms · Computer Science 2012-09-27 Kevin Mote

A map merging component is crucial for the proper functionality of a multi-robot system performing exploration, since it provides the means to integrate and distribute the most important information carried by the agents: the…

Robotics · Computer Science 2017-11-20 Emmanouil Tsardoulias , Aristeidis Thallas , Loukas Petrou

One of the important features of an interconnection network is its ability to efficiently simulate programs or parallel algorithms written for other architectures. Such a simulation problem can be mathematically formulated as a graph…

Combinatorics · Mathematics 2019-11-19 A. Arul Shantrinal , R. Sundara Rajan , A. Ramesh Babu , S. Anil , Mohammed Ali Ahmed

We consider the problem of routing a data packet through the visibility graph of a polygonal domain $P$ with $n$ vertices and $h$ holes. We may preprocess $P$ to obtain a label and a routing table for each vertex of $P$. Then, we must be…

The definition of $1$-planar graphs naturally extends graph planarity, namely a graph is $1$-planar if it can be drawn in the plane with at most one crossing per edge. Unfortunately, while testing graph planarity is solvable in linear time,…

Computational Geometry · Computer Science 2019-11-05 Carla Binucci , Walter Didimo , Fabrizio Montecchiani

This paper proposes a novel approach to map-based navigation system for unmanned aircraft. The proposed system attempts label-to-label matching, not image-to-image matching, between aerial images and a map database. The ground objects can…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Youngjoo Kim

We resolve in the affirmative conjectures of Repovs and A. Skopenkov (1998), and M. Skopenkov (2003) generalizing the classical Hanani-Tutte theorem to the setting of approximating maps of graphs on 2-dimensional surfaces by embeddings. Our…

Computational Geometry · Computer Science 2022-08-31 Radoslav Fulek , Jan Kynčl

A graph is said to be a segment graph if its vertices can be mapped to line segments in the plane such that two vertices have an edge between them if and only if their corresponding line segments intersect. Kratochv\'{i}l and Kub\v{e}na…

Combinatorics · Mathematics 2010-11-08 Mathew C. Francis , Jan Kratochvíl , Tomáš Vyskočil