Results 1 to 10 of about 1,639 (93)

The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs

Discussiones Mathematicae Graph Theory, 2016
A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(
Kamble Lata N., Deshpande Charusheela M., Bam Bhagyashree Y.   +2 more
doaj   +3 more sources

Characterizing divergence and thickness in right‐angled Coxeter groups

Journal of Topology, Volume 15, Issue 4, Page 2143-2173, December 2022., 2022
Abstract We completely classify the possible divergence functions for right‐angled Coxeter groups (RACGs). In particular, we show that the divergence of any such group is either polynomial, exponential, or infinite. We prove that a RACG is strongly thick of order k$k$ if and only if its divergence function is a polynomial of degree k+1$k+1$.
Ivan Levcovitz
wiley   +1 more source

Using intra‐task flexibility on an intelligent tutoring system to promote arithmetic problem‐solving proficiency

British Journal of Educational Technology, Volume 53, Issue 6, Page 1976-1992, November 2022., 2022
Abstract Problem solving is often regarded as one of the most essential cognitive functions in our daily lives, and, for that reason, educational theorists have long stressed the need for its development. As cognitive flexibility is a fundamental characteristic necessary throughout the problem‐solving process, the purpose of this study is to analyse ...
Javier del Olmo‐Muñoz, José Antonio González‐Calero, Pascual D. Diago, David Arnau, Miguel Arevalillo‐Herráez   +4 more
wiley   +1 more source

Resource allocation for multi‐IRS‐aided D2D communication underlying cellular networks

IET Communications, Volume 16, Issue 13, Page 1628-1641, August 2022., 2022
Abstract This paper investigates the resource allocation design in device‐to‐device (D2D) communication underlying cellular networks, which is assisted by multiple intelligent reflecting surfaces (IRSs) deployed at the cell boundary to enhance desired signals and mitigate interference between D2D pairs and CUs.
Maliheh Forouzanmehr, Soroush Akhlaghi, Ata Khalili   +2 more
wiley   +1 more source

Spectrum of Superhypergraphs via Flows

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
For any n ∈ ℕ and given nonempty subset V, the concept of n‐superhypergraphs is introduced by Florentin Smarandache based on Pn(V) (n‐th power set of V). In this paper, we present the novel concepts supervertices, superedges, and superhypergraph via the concept of flow.
Mohammad Hamidi, Florentin Smarandache, Elham Davneshvar, Gohar Ali   +3 more
wiley   +1 more source

Coloring the Voronoi tessellation of lattices

Journal of the London Mathematical Society, Volume 104, Issue 3, Page 1135-1171, October 2021., 2021
Abstract In this paper we define the chromatic number of a lattice: It is the least number of colors one needs to color the interiors of the cells of the Voronoi tessellation of a lattice so that no two cells sharing a facet are of the same color. We compute the chromatic number of the root lattices, their duals, and of the Leech lattice, we consider ...
Mathieu Dutour Sikirić, David A. Madore, Philippe Moustrou, Frank Vallentin   +3 more
wiley   +1 more source

Efficient Radio Channel Allocation in Integrated mmWave/Sub‐6 GHz UAV‐Assisted Disaster Relief Networks

Mobile Information Systems, Volume 2021, Issue 1, 2021., 2021
The unmanned aerial vehicle‐ (UAV‐) assisted sub‐6 GHz disaster relief networks cannot meet high‐speed transmission requirements. In this paper, the millimeter wave (mmWave) frequency band is combined with the sub‐6 GHz frequency band to build a high‐speed UAV‐assisted disaster relief network.
Jinsong Gui, Fujian Cai, Carlos T. Calafate   +2 more
wiley   +1 more source

Quasi‐Identifier Recognition Algorithm for Privacy Preservation of Cloud Data Based on Risk Reidentification

Wireless Communications and Mobile Computing, Volume 2021, Issue 1, 2021., 2021
Cloud computing plays an essential role as a source for outsourcing data to perform mining operations or other data processing, especially for data owners who do not have sufficient resources or experience to execute data mining techniques. However, the privacy of outsourced data is a serious concern.
Huda O. Mansour, Maheyzah M. Siraj, Fuad A. Ghaleb, Faisal Saeed, Eman H. Alkhammash, Mohd A. Maarof, Ihsan Ali   +6 more
wiley   +1 more source

Quasirandomness in hypergraphs [PDF]

, 2017
An $n$-vertex graph $G$ of edge density $p$ is considered to be quasirandom if it shares several important properties with the random graph $G(n,p)$.
Aigner-Horev, E., Conlon, D., Hàn, H., Person, Y., Schacht, M.   +4 more
core   +4 more sources

Hypergraphs, Quasi-randomness, and Conditions for Regularity

Journal of Combinatorial Theory, Series A, 2002
The study of quasi-randomness is a flourishing topic on uniform hypergraphs. F. R. K. Chung and R. L. Graham (among others) investigated thoroughly quasi-random uniform hypergraphs of density 1/2, showing a series of important equivalent statements about these structures. In this investigations the notion of deviation plays a central role.
Kohayakawa, Yoshiharu, Rödl, Vojtěch, Skokan, Jozef   +2 more
openaire   +2 more sources