Faculty of Mathematics and Natural Sciences: Nye registreringer
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Covering Radius of Generalized Zetterberg Type Codes Over Finite Fields of Odd Characteristic
(Journal article; Peer reviewed, 2023)Let Fq0 be a finite field of odd characteristic. For an integer s≥1 , let Cs(q0) be the generalized Zetterberg code of length qs0+1 over Fq0 . If s is even, then we prove that the covering radius of Cs(q0) is 3. Put q=qs0 ... -
The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number
(Journal article; Peer reviewed, 2023)“A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another” [D. D. Joseph and Y. Y. Renardy, Fundamentals of Two-Fluid ... -
New Results on the -1 Conjecture on Cross-Correlation of m-Sequences Based on Complete Permutation Polynomials
(Journal article; Peer reviewed, 2023)The cross-correlation between two maximum length sequences (m-sequences) of the same period has been studied since the end of 1960s. One open conjecture by Helleseth states that the cross- correlation between any two p-ary ... -
Detours in directed graphs
(Journal article; Peer reviewed, 2023)We study two “above guarantee” versions of the classical Longest Path problem on undirected and directed graphs and obtain the following results. In the first variant of Longest Path that we study, called Longest Detour, ... -
Classes of intersection digraphs with good algorithmic properties
(Journal article; Peer reviewed, 2023)While intersection graphs play a central role in the algorithmic analysis of hard problems on undirected graphs, the role of intersection digraphs in algorithms is much less understood. We present several contributions ... -
Parameterized complexity of categorical clustering with size constraints
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Diverse collections in matroids and graphs
(Journal article; Peer reviewed, 2023)We investigate the parameterized complexity of finding diverse sets of solutions to three fundamental combinatorial problems. The input to the Weighted Diverse Bases problem consists of a matroid M, a weight function ω : ... -
Can Romeo and Juliet meet? Or rendezvous games with adversaries on graphs
(Journal article; Peer reviewed, 2023)We introduce the rendezvous game with adversaries. In this game, two players, Facilitator and Divider, play against each other on a graph. Facilitator has two agents and Divider has a team of k agents located in some ... -
CFD modelling of hydrogen and hydrogen-methane explosions – Analysis of varying concentration and reduced oxygen atmospheres
(Journal article; Peer reviewed, 2023)This paper evaluates the predictive capabilities of the advanced consequence model FLACS-CFD for deflagrations involving hydrogen. Two modelling approaches are presented: the extensively validated model system originally ... -
Five-weight codes from three-valued correlation of M-sequences
(Journal article; Peer reviewed, 2023)In this paper, for each of six families of three-valued m-sequence correlation, we construct an infinite family of five-weight codes from trace codes over the ring R = F2 + uF2, where u2 = 0. The trace codes have the ... -
The weight spectrum of two families of Reed-Muller codes
(Journal article; Peer reviewed, 2023)We determine the weight spectra of the Reed-Muller codes RM (m− 3, m) for m ≥ 6 and RM (m − 4, m) for m ≥ 8. The technique used is induction on m, using that the sum of two weights in RM (r −1, m−1) is a weight in RM (r, ... -
Dynamic Programming on Bipartite Tree Decompositions
(Journal article; Peer reviewed, 2023)We revisit a graph width parameter that we dub bipartite treewidth, along with its associated graph decomposition that we call bipartite tree decomposition. Bipartite treewidth can be seen as a common generalization of ... -
Inverse Compton emission from heavy WIMP annihilations in the Galactic Centre
(Journal article; Peer reviewed, 2023)A thermal relic WIMP remains a prime candidate for the nature of Dark Matter, particularly for the more poorly constrained case of a heavy ( 1 TeV) WIMP. The highest fluxes from WIMP annihilations are expected in the region ... -
Tracking freshwater browning and coastal water darkening from boreal forests to the Arctic Ocean
(Journal article; Peer reviewed, 2023)The forest cover of Northern Europe has been steadily expanding during the last 120 years. More terrestrial vegetation and carbon fixation leads to more export to surface waters. This may cause freshwater browning, as more ... -
Structural Parameterizations of b-Coloring
(Journal article; Peer reviewed, 2023)The b-Coloring problem, which given a graph G and an integer k asks whether G has a proper k-coloring such that each color class has a vertex adjacent to all color classes except its own, is known to be FPT parameterized ... -
Customization of the angular spectrum method for calculating the acoustic piston field transmitted through a solid plate using MATLAB
(Journal article; Peer reviewed, 2023)The angular spectrum (AS) model is customized to calculate the spatial acoustic pressure field generated by a piston source and transmitted through a steel plate immersed in water, for normal beam incidence. A MATLAB program ... -
How to find a good explanation for clustering?
(Journal article; Peer reviewed, 2023)k-means and k-median clustering are powerful unsupervised machine learning techniques. However, due to complicated dependencies on all the features, it is challenging to interpret the resulting cluster assignments. Moshkovitz, ... -
The Connections Among Hamming Metric, b-Symbol Metric, and r-th Generalized Hamming Metric
(Journal article; Peer reviewed, 2023)The r -th generalized Hamming metric and the b -symbol metric are two different generalizations of Hamming metric. The former is used on the wire-tap channel of Type II, and the latter is motivated by the limitations of ... -
“Show me how to use a microscope” – The development and evaluation of certification as direct assessment of practical lab skills
(Journal article; Peer reviewed, 2023)Practical lab skills are rarely directly assessed. To improve constructive alignment between the described learning outcomes of practical skills and assessment, we developed and tested a certification procedure for microscopy ... -
Unlocking the potential of a lignocellulosic biorefinery : Optimizing yields of value-added furanic compounds in aqueous side streams from steam explosion and pellet production
(Doctoral thesis, 2024-04-23)Med en økende befolkning og en økende etterspørsel etter energi globalt, er vår avhengighet av fossile energikilder for å dekke våre energibehov blitt en betydelig utfordring på grunn av den begrensede tilgangen på disse ...