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Optimal ball and horoball packings generated by 3-dimensional simply truncated Coxeter orthoschemes with parallel faces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jenő Szirmai --- Budapest University of Technology and Economics, Institute of Mathematics, Hungary Arnasli Yahya --- Budapest University of Technology and Economics, Institute of Mathematics, HungaryIn this paper, we consider the ball and horoball packings belonging to 3-dimensional Coxeter tilings that are derived by simply truncated orthoschemes with parallel faces. The goal of this paper is to determine the optimal ball and horoball packing arrangements... -
The diversity of epigeal insects after the application of the brush packing restoration method following bush-encroachment control in South Africa
Item type: Journal Article • Journal: African Journal of Range & Forage Science • Authors: A Marquart --- North-West University, South Africa OB Sikwane --- North-West University, South Africa K Kellner --- North-West University, South AfricaEvidently, bush encroachment caused by factors, such as overgrazing, results in a change in savanna ecosystems. This shift in vegetation structure can affect many factors, including insect fauna. Epigeal arthropods occupy smaller habitat patches and therefore respond to the effects... -
On uniquely packable trees
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: A. Alochukwu --- Albany State University, USA M. Dorfling --- University of Johannesburg, South Africa E. Jonck --- University of the Witwatersrand, South AfricaAn i-packing in a graph G is a set of vertices that are pairwise at distance more than i. A packing colouring of G is a partition X = {X 1, X 2, . . . , X k... -
Distance dominator packing coloring of type II
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jasmina Ferme --- University of Maribor, Slovenia Daša Mesarič Štesl --- University of Ljubljana, SloveniaIn 2021, we introduced one type of the generalization of dominator coloring via packing coloring and distance domination. In this paper, we present a second type of such generalization, namely distance dominator packing coloring of type II, defined as follows...