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Configurations are necklaces with prescribed numbers of red and black beads. Among all possible configurations, the regular one plays an important role in many applications. In this paper, several aspects of regular configurations are…

Combinatorics · Mathematics 2007-10-02 Taoyang Wu

In this dissertation, we present LaSCO, the Language for Security Constraints on Objects, a new approach to expressing security policies using policy graphs and present a method for enforcing policies so expressed. Other approaches for…

Cryptography and Security · Computer Science 2007-05-23 James A. Hoagland

Graph Spectral Clustering methods (GSC) allow representing clusters of diverse shapes, densities, etc. However, the results of such algorithms, when applied e.g. to text documents, are hard to explain to the user, especially due to…

We propose a new extended format to represent constraint networks using XML. This format allows us to represent constraints defined either in extension or in intension. It also allows us to reference global constraints. Any instance of the…

Artificial Intelligence · Computer Science 2009-02-16 Olivier Roussel , Christophe Lecoutre

New criteria for which Cayley graphs of cyclic groups of any order can be completely determined--up to isomorphism--by the eigenvalues of their adjacency matrices is presented. Secondly, a new construction for pairs of nonisomorphic Cayley…

Combinatorics · Mathematics 2009-04-14 Julia Brown

A natural and established way to restrict the constraint satisfaction problem is to fix the relations that can be used to pose constraints; such a family of relations is called a constraint language. In this article, we study arc…

Artificial Intelligence · Computer Science 2011-04-27 Hubie Chen , Victor Dalmau , Berit Grußien

Graphs that are squares under the gluing algebra arise in the study of homomorphism density inequalities such as Sidorenko's conjecture. Recent work has focused on these homomorphism density applications. This paper takes a new perspective…

Combinatorics · Mathematics 2025-10-08 Karen L. Collins , David Galvin , Christine A. Kelley , Emily McMillon , Amanda Redlich

Formal Methods (FMs) are currently essential for verifying the safety and reliability of software systems. However, the specification writing in formal methods tends to be complex and challenging to learn, requiring familiarity with various…

Software Engineering · Computer Science 2024-04-30 Jianyu Zhang , Long Zhang , Yixuan Wu , Feng Yang

Large reasoning models (LRMs) achieve strong mathematical reasoning performance in English, but remain much less reliable in many low- and medium-resource languages. This gap is often explained as a failure to understand non-English problem…

Computation and Language · Computer Science 2026-05-28 Jiaqiao Zhang , Zhoujun Li , Raoyuan Zhao , Jian Lan , Thomas Seidl , Michael A. Hedderich , Hinrich Schütze , Yihong Liu

A method for improving the efficiency of graph isomorphism testing is presented. The method uses the structure of the graph colored by vertex hash codes as a means of partitioning vertices into equivalence classes, which in turn reduces the…

Data Structures and Algorithms · Computer Science 2016-06-02 Thomas E. Portegys

Graph matching is a fundamental problem in pattern recognition, with many applications such as software analysis and computational biology. One well-known type of graph matching problem is graph isomorphism, which consists of deciding if…

Artificial Intelligence · Computer Science 2023-12-18 Miguel Terra-Neves , José Amaral , Alexandre Lemos , Rui Quintino , Pedro Resende , Antonio Alegria

In the past decades, graphs that are determined by their spectrum have received more attention, since they have been applied to several fields, such as randomized algorithms, combinatorial optimization problems and machine learning. An…

Combinatorics · Mathematics 2018-06-27 Ali Zeydi Abdian , Afshin Behmaram , Gholam Hossein Fath-Tabar

We present a new, high-level approach for the specification of model-to-model transformations based on declarative patterns. These are (atomic or composite) constraints on triple graphs declaring the allowed or forbidden relationships…

Software Engineering · Computer Science 2008-12-18 Juan de Lara , Esther Guerra

Federations of RDF data sources provide great potential when queried for answers and insights that cannot be obtained from one data source alone. A challenge for planning the execution of queries over such a federation is that the…

Databases · Computer Science 2020-10-06 Sijin Cheng , Olaf Hartig

Graph-based design languages in UML (Unified Modeling Language) are presented as a method to encode and automate the complete design process and the final optimization of the product or complex system. A design language consists of a…

Software Engineering · Computer Science 2018-05-24 Samuel Vogel , Stephan Rudolph

In this report, we present TAGLAS, an atlas of text-attributed graph (TAG) datasets and benchmarks. TAGs are graphs with node and edge features represented in text, which have recently gained wide applicability in training graph-language or…

Machine Learning · Computer Science 2024-10-22 Jiarui Feng , Hao Liu , Lecheng Kong , Mingfang Zhu , Yixin Chen , Muhan Zhang

TextFormats is a software system for efficient and user-friendly creation of text format specifications, accessible from multiple programming languages (C/C++, Python, Nim) and the Unix command line. To work with a format, a specification…

Programming Languages · Computer Science 2023-02-01 Giorgio Gonnella

Large Language Models (LLMs) have recently demonstrated strong capabilities in translating natural language into database queries, especially when dealing with complex graph-structured data. However, real-world queries often contain…

Databases · Computer Science 2025-08-14 Yuchen Tian , Kaixin Li , Hao Chen , Ziyang Luo , Hongzhan Lin , Sebastian Schelter , Lun Du , Jing Ma

Racah and Wilson polynomials with dilated and translated argument are reparametrized such that the polynomials are continuous in the parameters as long as these are nonnegative, and such that restriction of one or more of the new parameters…

Classical Analysis and ODEs · Mathematics 2009-12-04 Tom H. Koornwinder

Abstract Dialectical Frameworks (ADFs) generalize Dung's argumentation frameworks allowing various relationships among arguments to be expressed in a systematic way. We further generalize ADFs so as to accommodate arbitrary acceptance…

Artificial Intelligence · Computer Science 2018-09-10 Gerhard Brewka , Jörg Pührer , Hannes Strass , Johannes P. Wallner , Stefan Woltran