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Many practical problems in almost all scientific and technological disciplines have been classified as computationally hard (NP-hard or even NP-complete). In life sciences, combinatorial optimization problems frequently arise in molecular…

Data Structures and Algorithms · Computer Science 2015-03-19 H. Jose Antonio Martin

We provide a certifying algorithm for the problem of deciding whether a P5- free graph is 3-colorable by showing there are exactly six finite graphs that are P5-free and not 3-colorable and minimal with respect to this property.

Discrete Mathematics · Computer Science 2009-07-22 Daniel Bruce , Chinh T. Hoang , Joe Sawada

Introducing the simplest of all No-Signalling Games: the RGB Game where two verifiers interrogate two provers, Alice and Bob, far enough from each other that communication between them is too slow to be possible. Each prover may be…

Quantum Physics · Physics 2019-01-29 Xavier Coiteux-Roy , Claude Crépeau

Research in secure multi-party computation using a deck of playing cards, often called card-based cryptography, dates back to 1989 when Den Boer introduced the "five-card trick" to compute the logical AND function. Since then, many…

Cryptography and Security · Computer Science 2022-10-26 Suthee Ruangwises

How someone can get health insurance without sharing his health information? How you can get a loan without disclosing your credit score? There is a method to certify certain attributes of various data, either this is health metrics or…

Cryptography and Security · Computer Science 2020-06-18 Stavros Kassaras , Leandros Maglaras

Zero-knowledge proof system is an important protocol that can be used as a basic block for construction of other more complex cryptographic protocols. Quantum zero-knowledge protocols have been proposed but, since their implementation…

Quantum Physics · Physics 2008-01-07 Rubens Viana Ramos , Jose Claudio do Nascimento

The positive zero forcing number of a graph is a graph parameter that arises from a non-traditional type of graph colouring, and is related to a more conventional version of zero forcing. We establish a relation between the zero forcing and…

Combinatorics · Mathematics 2014-07-28 Shaun Fallat , Karen Meagher , Boting Yang

Zero forcing is an iterative graph coloring process, where given a set of initially colored vertices, a colored vertex with a single uncolored neighbor causes that neighbor to become colored. A zero forcing set is a set of initially colored…

Zero-Knowledge (ZK) proof systems are cryptographic protocols that can (with overwhelming probability) demonstrate that the pair $(X, W)$ is in a relation $R$ without revealing information about the private input $W$. This membership…

Cryptography and Security · Computer Science 2026-01-15 Pedro Antonino , Namrata Jain

Zero-Knowledge Proofs (ZKPs) are a cryptographic primitive that allows a prover to demonstrate knowledge of a secret value to a verifier without revealing anything about the secret itself. ZKPs have shown to be an extremely powerful tool,…

Cryptography and Security · Computer Science 2025-04-29 Nojan Sheybani , Anees Ahmed , Michel Kinsy , Farinaz Koushanfar

The foundation of zero-knowledge is the simulator: a weak machine capable of pretending to be a weak verifier talking with all-powerful provers. To achieve this, simulators need some kind of advantage such as the knowledge of a trapdoor. In…

Quantum Physics · Physics 2019-07-31 Claude Crépeau , Nan Yang

We consider a problem, which we call secure grouping, of dividing a number of parties into some subsets (groups) in the following manner: Each party has to know the other members of his/her group, while he/she may not know anything about…

Cryptography and Security · Computer Science 2018-10-17 Yuji Hashimoto , Kazumasa Shinagawa , Koji Nuida , Masaki Inamura , Goichiro Hanaoka

We propose a general way of constructing zero-knowledge authentication schemes from actions of a semigroup on a set, without exploiting any specific algebraic properties of the set acted upon. Then we give several concrete realizations of…

Cryptography and Security · Computer Science 2008-02-13 Dima Grigoriev , Vladimir Shpilrain

The system proposed in this study uses zero-knowledge proof (ZKP) to verify the traceability of wood recorded in a public blockchain. Wood is a byproduct of several states, ranging from standing trees to logs, lumber, and wood products…

Cryptography and Security · Computer Science 2022-11-22 Kyohei Shibano , Tohru Nakajima , Gento Mogi

For the four-color theorem that has been developed over one and half centuries, all people believe it right but without complete proof convincing all1-3. Former proofs are to find the basic four-colorable patterns on a planar graph to…

General Mathematics · Mathematics 2021-04-30 X. -J. Wang , T. -Q. Wang

Zero-knowledge (ZK) protocols enable software developers to provide proofs of their programs' correctness to other parties without revealing the programs themselves. Regular expressions are pervasive in real-world software, and…

Cryptography and Security · Computer Science 2025-04-03 John Kolesar , Shan Ali , Timos Antonopoulos , Ruzica Piskac

In the thesis we focus on designing an authentication system to authenticate users over a network with a username and a password. The system uses the zero-knowledge proof (ZKP) system as a password verification mechanism. The ZKP protocol…

Cryptography and Security · Computer Science 2022-05-13 Jakob Povsic , Andrej Brodnik

Machine learning models are increasingly used in societal applications, yet legal and privacy concerns demand that they very often be kept confidential. Consequently, there is a growing distrust about the fairness properties of these models…

Machine Learning · Computer Science 2024-07-17 Chhavi Yadav , Amrita Roy Chowdhury , Dan Boneh , Kamalika Chaudhuri

Graph coloring is used in wireless networks to optimize network resources: bandwidth and energy. Nodes access the medium according to their color. It is the responsibility of the coloring algorithm to ensure that interfering nodes do not…

Networking and Internet Architecture · Computer Science 2011-10-10 Ichrak Amdouni , Cédric Adjih , Pascale Minet

Zero-knowledge proofs (ZKPs) enable computational integrity and privacy by allowing one party to prove the truth of a statement without revealing underlying data. Compared with alternatives such as homomorphic encryption and secure…

Cryptography and Security · Computer Science 2026-04-14 Ryan Lavin , Xuekai Liu , Hardhik Mohanty , Logan Norman , Giovanni Zaarour , Bhaskar Krishnamachari