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Quantum algorithms for several problems in graph theory are considered. Classical algorithms for finding the lowest weight path between two points in a graph and for finding a minimal weight spanning tree involve searching over some space.…

Quantum Physics · Physics 2007-05-23 Mark Heiligman

The problem of checking whether a recursive query can be rewritten as query without recursion is a fundamental reasoning task, known as the boundedness problem. Here we study the boundedness problem for Unions of Conjunctive Regular Path…

Databases · Computer Science 2024-07-31 Diego Figueira , S. Krishna , Om Swostik Mishra , Anantha Padmanabha

Given a weighted digraph D, finding the longest simple path is well known to be NP-hard. Furthermore, even giving an approximation algorithm is known to be NP-hard. In this paper we describe an efficient heuristic algorithm for finding long…

Discrete Mathematics · Computer Science 2018-02-22 Miguel Raggi

We study graph ordering problems with a min-max objective. A classical problem of this type is cutwidth, where given a graph we want to order its vertices such that the number of edges crossing any point is minimized. We give a $…

Data Structures and Algorithms · Computer Science 2024-04-15 Nikhil Bansal , Dor Katzelnick , Roy Schwartz

Regular path query languages for data graphs are essentially \emph{untyped}. The lack of type information greatly limits the optimization opportunities for query engines and makes application development more complex. In this paper we…

Databases · Computer Science 2015-07-08 Dario Colazzo , Carlo Sartiani

We investigate the problem of computing the top-$k$ simple shortest paths in weighted digraphs. While the single-pair variant -- finding the top-$k$ simple shortest paths between two specified vertices -- has been extensively studied over…

Data Structures and Algorithms · Computer Science 2025-10-01 Mattia D'Emidio , Gabriele Di Stefano

In this paper we introduce a new algorithm for the \emph{$k$-Shortest Simple Paths} (\kspp{k}) problem with an asymptotic running time matching the state of the art from the literature. It is based on a black-box algorithm due to…

Data Structures and Algorithms · Computer Science 2023-09-20 Pedro Maristany de las Casas , Antonio Sedeño-Noda , Ralf Borndörfer , Max Huneshagen

With the current burst of network theory (especially in connection with social and biological networks) there is a renewed interest on realizations of given degree sequences. In this paper we propose an essentially new degree sequence…

Combinatorics · Mathematics 2015-07-14 Péter L. Erdös , Sándor Z. Kiss , István Miklós , Lajos Soukup

We study the SHORTEST PATH problem with positive disjunctive constraints from the perspective of parameterized complexity. For positive disjunctive constraints, there are certain pair of edges such that any feasible solution must contain at…

Discrete Mathematics · Computer Science 2026-03-06 Susobhan Bandopadhyay , Suman Banerjee , Diptapriyo Majumdar , Fahad Panolan

The restoration lemma by Afek, Bremler-Barr, Kaplan, Cohen, and Merritt [Dist. Comp. '02] proves that, in an undirected unweighted graph, any replacement shortest path avoiding a failing edge can be expressed as the concatenation of two…

Data Structures and Algorithms · Computer Science 2023-06-06 Greg Bodwin , Merav Parter

Graph Neural Networks (GNNs) are a powerful representational tool for solving problems on graph-structured inputs. In almost all cases so far, however, they have been applied to directly recovering a final solution from raw inputs, without…

Machine Learning · Statistics 2020-01-16 Petar Veličković , Rex Ying , Matilde Padovano , Raia Hadsell , Charles Blundell

Nested regular expressions (NREs) have been proposed as a powerful formalism for querying RDFS graphs, but research in a more general graph database context has been scarce, and static analysis results are currently lacking. In this paper…

Databases · Computer Science 2013-06-20 Juan L. Reutter

We consider the bi-criteria shortest-path problem where we want to compute shortest paths on a graph that simultaneously balance two cost functions. While this problem has numerous applications, there is usually no path minimizing both cost…

Data Structures and Algorithms · Computer Science 2021-03-08 Oren Salzman

We consider query answering using views on graph databases, i.e. databases structured as edge-labeled graphs. We mainly consider views and queries specified by Regular Path Queries (RPQ). These are queries selecting pairs of nodes in a…

Databases · Computer Science 2017-01-11 Nadime Francis , Luc Segoufin , Cristina Sirangelo

To tackle the exponentiality associated with NP-hard problems, two paradigms have been proposed. First, Branch & Bound, like Dynamic Programming, achieve efficient exact inference but requires extensive information and analysis about the…

Data Structures and Algorithms · Computer Science 2016-09-13 Julien Weissenberg , Hayko Riemenschneider , Ralf Dragon , Luc Van Gool

Abusive language is a concerning problem in online social media. Past research on detecting abusive language covers different platforms, languages, demographies, etc. However, models trained using these datasets do not perform well in…

Computation and Language · Computer Science 2023-07-31 Punyajoy Saha , Divyanshu Sheth , Kushal Kedia , Binny Mathew , Animesh Mukherjee

Breadth First Search (BFS) is a building block for graph algorithms and has recently been used for large scale analysis of information in a variety of applications including social networks, graph databases and web searching. Due to its…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-12 Mireya Paredes , Graham Riley , Mikel Lujan

The shortest path between two concepts in a taxonomic ontology is commonly used to represent the semantic distance between concepts in the edge-based semantic similarity measures. In the past, the edge counting is considered to be the…

Artificial Intelligence · Computer Science 2015-06-09 Xinhua Zhu , Fei Li , Hongchao Chen , Qi Peng

Shortest-path roadmaps, also known as reduced visibility graphs, provides a highly efficient multi-query method for computing optimal paths in two-dimensional environments. Combined with Minkowski sum computations, shortest-path roadmaps…

Robotics · Computer Science 2025-03-27 Duo Zhang , Zihe Ye , Jingjin Yu

We study the classical evaluation problem for regular path queries: Given an edge-labeled graph and a regular path query, compute the set of pairs of vertices that are connected by paths that match the query. The Product Graph (PG) is the…

Databases · Computer Science 2025-04-01 Mahmoud Abo Khamis , Ahmet Kara , Dan Olteanu , Dan Suciu
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