SelectedWorks - Mark Anthony Tolentino

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Selected Works of Mark Anthony Tolentino

Associate Professor, Mathematics Department

Mark Tolentino's research interests are mainly in the area of graph theory, particularly in neighbor-distinguishing colorings.

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About Mark Anthony Tolentino

Mark Tolentino's research interests are mainly in the area of graph theory, particularly in neighbor-distinguishing colorings.

Present	Assistant Professor, Ateneo de Manila University ‐ Mathematics Department
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Mathematics

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On the Sigma Chromatic Number of the Zero-Divisor Graphs of the Ring of Integers Modulo n (Agnes Garciano, Reginaldo M Marcelo, Mari-Jo P Ruiz, et al.) Mathematics Faculty Publications (2021)

The zero-divisor graph of a commutative ring R with unity is the graph Γ(R) whose vertex set is the set of nonzero zero divisors of R; where two vertices are adjacent if and only if ...

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The Set Chromatic Numbers of the Middle Graph of Graphs (Gerone Russel J Eugenio, Mari-Jo P Ruiz and Mark Anthony C Tolentino) Mathematics Faculty Publications (2021)

For a simple connected graph G; let c : V (G) → N be a vertex coloring of G; where adjacent vertices may be colored the same. The neighborhood color set of a vertex v; ...

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Using Mobile Technology to Promote Higher-Order Thinking Skills in Elementary Mathematics (Debbie Marie Versoza, Ma. Louise Antonette N De Las Peñas, Jumela F Sarmiento, et al.) Mathematics Faculty Publications (2021)

The problem of rote-based learning in mathematics is well documented. Mobile technology can provide a potential solution, especially when application (app) design is based on sound pedagogical principles and gamification elements. However, an inventory of ...

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Sigma Coloring and Edge Deletions (Agnes Garciano, Reginaldo M Marcelo, Mari-Jo P Ruiz, et al.) Mathematics Faculty Publications (2020)

A vertex coloring c : V(G) → N of a non-trivial graph G is called a sigma coloring if σ(u) is not equal to σ(v) for any pair of adjacent vertices u and v. Here, ...

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Development of a mobile ten frames app for Philippine K-12 schools (Debbie Marie Versoza, Ma. Louise Antonette N De Las Peñas, Jumela F Sarmiento, et al.) Mathematics Faculty Publications (2020)

This paper reports on the Quick Images app, whose design framework is informed by research on ten-structured thinking and gamification principles. Inclusivity was also a major consideration, especially in the context of a developing country. ...

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Designing Mobile Apps to Promote Numeracy and Statistical Reasoning (Ma. Louise Antonette N De Las Peñas, Mark L Loyola, Jumela F Sarmiento, et al.) Mathematics Faculty Publications (2020)

Developing countries typically do not perform well in international benchmarks of mathematics achievement. This may be partially explained by students’ immersion in classrooms characterized by superficial strategies or rote-learning methods. This paper reports on the ...

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On the set chromatic number of the join and comb product of graphs (Bryan Ceasar L Felipe, Agnes Garciano and Mark Anthony C Tolentino) Mathematics Faculty Publications (2020)

A vertex coloring c : V(G) → of a non-trivial connected graph G is called a set coloring if NC(u) ≠ NC(v) for any pair of adjacent vertices u and v. Here, NC(x) denotes the ...

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The sigma chromatic number of the Sierpinski gasket graphs and the Hanoi graphs (Agnes Garciano, Reginaldo M Marcelo, Mari-Jo P Ruiz, et al.) Mathematics Faculty Publications (2020)

A vertex coloring c : V(G) → of a non-trivial connected graph G is called a sigma coloring if σ(u) ≠ σ(v) for any pair of adjacent vertices u and v. Here, σ(x) denotes the ...

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Twin chromatic indices of some graphs with maximum degree 3 (Jayson D Tolentino, Reginaldo M Marcelo and Mark Anthony C Tolentino) Mathematics Faculty Publications (2020)

Let k ≥ 2 be an integer and G be a connected graph of order at least 3. A twin k-edge coloring of G is a proper edge coloring of G that uses colors from ...

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Digital Simulations for Grade 7 to 10 Mathematics (Ma. Louise Antonette N De Las Peñas, Debbie Marie Verzosa, Maria Alva Q Aberin, et al.) Mathematics Faculty Publications (2019)

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 ...

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Efficient Repair Scheduling Strategy of a Multi-Source Lifeline Network Using Constrained Spanning Forest (Lessandro Estelito Garciano, Agnes Garciano, Mark Anthony C Tolentino, et al.) Mathematics Faculty Publications (2019)

Pre-disaster programs, especially for seismic hazards, are necessary to quickly recover the services of a lifeline network. In the case of a multi-source (or multi-root) water lifeline network, an efficient repair schedule must be implemented ...

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The Sigma Chromatic Number of the Circulant Graphs Cn(1,2) , Cn(1,3) , and C2n(1,n) (Mari-Jo P Ruiz, Paul Adrian D Luzon and Mark Anthony C Tolentino) Mathematics Faculty Publications (2016)

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