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Tribes of cubic partial cubes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 Partial cubes are graphs isometrically embeddable into hypercubes. Three infinite families and a few sporadic examples of cubic partial cubes are known.
Sandi Klavžar, Sergey Shpectorov
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On Antipodal and Diametrical Partial Cubes
Discussiones Mathematicae Graph Theory, 2021 We prove that any diametrical partial cube of diameter at most 6 is antipodal. Because any antipodal graph is harmonic, this gives a partial answer to a question of Fukuda and Handa [Antipodal graphs and oriented matroids, Discrete Math.
Polat Norbert
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On Some Properties of Antipodal Partial Cubes
Discussiones Mathematicae Graph Theory, 2020 We prove that an antipodal bipartite graph is a partial cube if and only it is interval monotone. Several characterizations of the principal cycles of an antipodal partial cube are given.
Polat Norbert
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On Some Characterizations of Antipodal Partial Cubes
Discussiones Mathematicae Graph Theory, 2019 We prove that any harmonic partial cube is antipodal, which was conjectured by Fukuda and K. Handa, Antipodal graphs and oriented matroids, Discrete Math. 111 (1993) 245–256.
Polat Norbert
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Two-Dimensional Partial Cubes [PDF]
The Electronic Journal of Combinatorics, 2020 We investigate the structure of two-dimensional partial cubes, i.e., of isometric subgraphs of hypercubes whose vertex set defines a set family of VC-dimension at most 2. Equivalently, those are the partial cubes which are not contractible to the 3-cube $Q_3$ (here contraction means contracting the edges corresponding to the same coordinate of the ...
Chepoi, Victor +2 more
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Maximal Partial Latin Cubes [PDF]
The Electronic Journal of Combinatorics, 2015 We prove that each maximal partial Latin cube must have more than $29.289\%$ of its cells filled and show by construction that this is a nearly tight bound. We also prove upper and lower bounds on the number of cells containing a fixed symbol in maximal partial Latin cubes and hypercubes, and we use these bounds to determine for small orders $n$ the ...
Britz, Thomas +2 more
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COMPRESSIVE STRENGTH BEHAVIOURS OF LAGOON–WATER CURED CEMENT-ALUMINIUM DROSS CONCRETE
Mağallaẗ Al-kūfaẗ Al-handasiyyaẗ, 2021 This study investigates the compressive strengths of concrete cubes and reinforced columns cast with partial replacement of cement using 0- 25 wt.% Aluminum dross (AlDr) and cured in Lagoon water for 7-42days and 1-6 months respectively.
Olusegun A. Afolabi +3 more
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Research and Review Journal of Nondestructive Testing, 2023 Metal based additive manufacturing techniques such as laser powder bed fusion (LPBF) can produce parts with complex designs as compared to traditional manufacturing.
Shafaq Zia +3 more
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Covering Partial Cubes with Zones [PDF]
The Electronic Journal of Combinatorics, 2014 A partial cube is a graph having an isometric embedding in a hypercube. Partial cubes are characterized by a natural equivalence relation on the edges, whose classes are called zones. The number of zones determines the minimal dimension of a hypercube in which the graph can be embedded. We consider the problem of covering the vertices of a partial cube
Cardinal, Jean, Felsner, Stefan
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Experimental study on the performance of concrete mix with paper waste, waste plastic, quarry dust, and fly ash [PDF]
Журнал інженерних наук, 2021 In recent years, concrete in the construction industry has rapidly increased worldwide, including developing countries like India. The raw materials required to produce such a quantity require huge depletion of natural resources.
Gundu M., Abhaysinha S.
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