J. R. M. Antalan

activity

20152025

collaborators

8 papers

math.CO2025

Edge-graceful usual fan graphs

Aaron D. C. Angel, John Rafael M. Antalan, John Loureynz F. Gamurot +1

A graph $G$ with $p$ vertices and $q$ edges is said to be edge-graceful if its edges can be labeled from $1$ through $q$ , in such a way that the labels induced on the vertices by a…

math.CO2021

On $k$ -dprime Divisor Function Graph

John Rafael M. Antalan, Jerwin G. De Leon, Regine P. Dominguez

Let $p$ and $q$ be distinct primes. The \textit{semiprime divisor function graph} denoted by $G_{D (pq)}$ , is the graph with vertex set $V (G_{D (pq)}) = {1, p, q, pq}$ and edge set $E(G…

math.CO2021

Distance Eigenvalues, Forwarding Indices, and Distance-based Topological Indices of Complement of Two Circulant Networks

John Rafael Macalisang Antalan, Francis Joseph Hernandez Campeña

Let $n$ and $a$ be positive integers such that $2 \leq a \leq \frac{n}{2}$ . In this short note, we compute for the exact value of the distance spectral radius, vertex-forwarding inde…

math.CO2020

Distance Eigenvalues and Forwarding Indices of Multiplicative Circulant Graph of Order Power of Two and Three

John Rafael M. Antalan, Francis Joseph H. Campena

In this paper, we use Breadth-first search algorithm to determine the distance matrix of multiplicative circulant graph of order power of two and three. As a consequence, the diame…

math.HO2019

A Recreational Application of Two Integer Sequences and the Generalized Repetitious Number Puzzle

John Rafael M. Antalan

In this article, we give a particular recreational application of the sequence A000533 and A261544 in "The On-line Encyclopedia of Integer Sequences" (OEIS). The recreational appli…

math.NT2016

Some New Results On Even Almost Perfect Numbers Which Are Not Powers Of Two

John Rafael M. Antalan, Jose Arnaldo B. Dris

In this note, we present some new results on even almost perfect numbers which are not powers of two. In particular, we show that $2^{r + 1} < b$ , if $2^{r} b^{2}$ is an even almost p…

math.NT2015

A Note on Generating Almost Pythagorean Triples

John Rafael M. Antalan, Mark D. Tomenes

In 1987, Orrin Frink introduced the concept of almost Pythagorean triples. He defined them as an ordered triple $(x, y, z)$ that satisfies the equation $x^{2} + y^{2} = z^{2} + 1$ where $x, y$ an…