Results 11 to 20 of about 78 (75)

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

Characterization of the degree sequences of (quasi) regular uniform hypergraphs

, 2021
International audienceIn hypergraph theory, determining a characterization of the degree sequence $d=(d_1,d_2,\ldots,d_n)$ where $d_1\ge d_2\ge\ldots,d_n$ are positive integers, of an $h$-uniform simple hypergraph $\cal H$, and deciding the complexity ...
Frosini A., Frosini, A., Rinaldi S., Rinaldi, S., Picouleau C., Picouleau, Christophe   +5 more
core   +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

Extremal hypergraph theory and algorithmic regularity lemma for sparse graphs [PDF]

, 2011
Einst als Hilfssatz für Szemerédis Theorem entwickelt, hat sich das Regularitätslemma in den vergangenen drei Jahrzehnten als eines der wichtigsten Werkzeuge der Graphentheorie etabliert. Im Wesentlichen hat das Lemma zum Inhalt, dass dichte Graphen
Hàn, Hiêp
core   +2 more sources

Decomposing tournaments into paths

Proceedings of the London Mathematical Society, Volume 121, Issue 2, Page 426-461, August 2020., 2020
Abstract We consider a generalisation of Kelly's conjecture which is due to Alspach, Mason, and Pullman from 1976. Kelly's conjecture states that every regular tournament has an edge decomposition into Hamilton cycles, and this was proved by Kühn and Osthus for large tournaments. The conjecture of Alspach, Mason, and Pullman asks for the minimum number
Allan Lo, Viresh Patel, Jozef Skokan, John Talbot   +3 more
wiley   +1 more source