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Physical Sciences and Mathematics Commons™
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- Application (1)
- Color symmetry (1)
- Enumeration algorithm (1)
- Global symmetry (1)
- Isocoronal tilings (1)
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- K to 12 program (1)
- K-isocoronal tilings (1)
- K-uniform tilings (1)
- Local symmetry (1)
- Mathematical software (1)
- Mobile technology (1)
- Perfect colorings (1)
- Subgraph optimization (1)
- Technology in mathematics education (1)
- Transitive perfect colorings (1)
- Uniform tilings (1)
- Vertex-k- transitive tilings (1)
- Zero-suppressed binary decision diagram (1)
Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
Digital Simulations For Grade 7 To 10 Mathematics, Ma. Louise Antonette N. De Las Peñas, Debbie Marie Verzosa, Maria Alva Q. Aberin, Len Patrick Dominic M. Garces, Flordeliza F. Francisco, Evangeline P. Bautista, Mark Anthony C. Tolentino, Winfer C. Tabares
Digital Simulations For Grade 7 To 10 Mathematics, Ma. Louise Antonette N. De Las Peñas, Debbie Marie Verzosa, Maria Alva Q. Aberin, Len Patrick Dominic M. Garces, Flordeliza F. Francisco, Evangeline P. Bautista, Mark Anthony C. Tolentino, Winfer C. Tabares
Mathematics Faculty Publications
This article describes a Department of Science and Technology – Philippine Council for Industry, Energy and Emerging Technology (DOST-PCIEERD) project aimed to facilitate the implementation of the mathematical objectives raised by the Department of Education’s (DepEd) K to 12 program in the Philippines through the use of innovative digital technologies. In particular, a selection of application software (“apps”) were created for Grade 7 to 10 mathematics that covered topics indicated in the five strands outlined in the K to 12 program – namely (1) number, (2) geometry, (3) measurement, (4) patterns and algebra, and (5) statistics and probability. The design …
Local And Global Color Symmetries Of A Symmetrical Pattern, Ma. Louise Antonette N. De Las Peñas, Agatha Kristel Abila, Eduard C. Taganap
Local And Global Color Symmetries Of A Symmetrical Pattern, Ma. Louise Antonette N. De Las Peñas, Agatha Kristel Abila, Eduard C. Taganap
Mathematics Faculty Publications
This study addresses the problem of arriving at transitive perfect colorings of a symmetrical pattern P consisting of disjoint congruent symmetric motifs. The pattern P has local symmetries that are not necessarily contained in its global symmetry group G. The usual approach in color symmetry theory is to arrive at perfect colorings of P ignoring local symmetries and considering only elements of G. A framework is presented to systematically arrive at what Roth [Geom. Dedicata (1984), 17, 99–108] defined as a coordinated coloring of P, a coloring that is perfect and transitive under G, satisfying the condition that the coloring …
A Zero-Suppressed Binary Decision Diagram Approach For Constrained Path Enumeration, Renzo Roel P. Tan, Jun Kawahara, Agnes Garciano, Immanuel Sin
A Zero-Suppressed Binary Decision Diagram Approach For Constrained Path Enumeration, Renzo Roel P. Tan, Jun Kawahara, Agnes Garciano, Immanuel Sin
Mathematics Faculty Publications
Combinatorial optimization over graphs has been the subject of research. Recently, the solution of such problems by enumeration using a compact data structure called the zero-suppressed binary decision diagram was proposed and studied. The paper augments the existing frontier-based search method of construction and puts forth a technique for accommodating additional constraints during computation. The shortest and longest path problems for the Osaka Metro transit network are simultaneously solved as demonstration. Furthermore, a comparison of the approach with a conventional integer programming method is presented towards justifying the effectiveness of the algorithm.
K -Isocoronal Tilings, Eduard C. Taganap, Ma. Louise Antonette N. De Las Peñas
K -Isocoronal Tilings, Eduard C. Taganap, Ma. Louise Antonette N. De Las Peñas
Mathematics Faculty Publications
In this article, a framework is presented that allows the systematic derivation of planar edge-to-edge k-isocoronal tilings from tile-s-transitive tilings, s k. A tiling T is k-isocoronal if its vertex coronae form k orbits or k transitivity classes under the action of its symmetry group. The vertex corona of a vertex x of T is used to refer to the tiles that are incident to x. The k-isocoronal tilings include the vertex-k-transitive tilings (k-isogonal) and k-uniform tilings. In a vertex-k- transitive tiling, the vertices form k transitivity classes under its symmetry group. If this tiling consists of regular polygons then …