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Ian June Garces
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Associate Professor, Mathematics Department
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Dr. Ian Garces' research areas are graph theory and integration theory.
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About Ian June Garces
Dr. Ian Garces' research areas are graph theory and integration theory.
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Associate Professor,
Ateneo de Manila University
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Mathematics Department
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Applied Mathematics
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Mathematics
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Number Theory
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Featured Works
Featured Works
(24)
Article
The Metric Dimension of the Join of Paths and Cycles
Mathematics Faculty Publications (2021)
Ian June L Garces and Jose B Rosario
Link
Article
Strong Derivative and the Essentially Riemann Integral
Mathematics Faculty Publications (2021)
Immanuel D Calunod and Ian June L Garces
We characterize the primitives of Riemann integrable functions using the concept of strong differentiability. We also introduce the notion of ...
Link
Article
Characterizing 2-distance graphs
Mathematics Faculty Publications (2019)
Ramuel P Ching and Ian June L Garces
Let X be a finite simple graph. The 2-distance graph D2(X) of X is the graph with the same vertex ...
Link
Article
Characterizing 2-distance graphs
Mathematics Faculty Publications (2019)
Ramuel P Ching and Ian June L Garces
Let X be a finite simple graph. The 2-distance graph D2(X) of X is the graph with the same vertex ...
Link
Article
The null set of the join of paths
Mathematics Faculty Publications (2019)
Arnold A Eniego and Ian June L Garces
For positive integer k, a graph G is said to be k-magic if the edges of G can be labeled ...
Link
Article
The null set of the join of paths
Mathematics Faculty Publications (2019)
Arnold A Eniego and Ian June L Garces
For positive integer k, a graph G is said to be k-magic if the edges of G can be labeled ...
Link
Article
Metric graphic sets
Mathematics Faculty Publications (2017)
Ian June L Garces and J B Rosario
For an ordered subset W = {w1, w2, . . . , wk} of vertices in a connected graph G ...
Link
Article
Metric graphic sets
Mathematics Faculty Publications (2017)
Ian June L Garces and J B Rosario
For an ordered subset W = {w1, w2, . . . , wk} of vertices in a connected graph G ...
Link
Article
Characterization of completely k-magic regular graphs
Mathematics Faculty Publications (2016)
Arnold A Eniego and Ian June L Garces
Let k ∈ N and c ∈ Zk. A graph G is said to be c-sum k-magic if there is ...
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Article
Characterization of completely k-magic regular graphs
Mathematics Faculty Publications (2016)
Arnold A Eniego and Ian June L Garces
Let k ∈ N and c ∈ Zk. A graph G is said to be c-sum k-magic if there is ...
Download
Article
Cauchy Extension of Mα-Integral and Absolute Mα-Integrability
Mathematics Faculty Publications (2015)
Ian June L Garces and Abraham P Racca
Park, Ryu, and Lee recently introduced a Henstock-type integral, which lies between the Mcshane and the Henstock integrals. This paper ...
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Article
Cauchy Extension of Mα-Integral and Absolute Mα-Integrability
Mathematics Faculty Publications (2015)
Ian June L Garces and Abraham P Racca
Park, Ryu, and Lee recently introduced a Henstock-type integral, which lies between the Mcshane and the Henstock integrals. This paper ...
Download
Article
Computing the metric dimension of truncated wheels
Mathematics Faculty Publications (2015)
Ian June L Garces and Jose B Rosario
For an ordered subset W = {w1, w2, w3, . . . , wk} of vertices in a connected graph ...
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Article
Computing the metric dimension of truncated wheels
Mathematics Faculty Publications (2015)
Ian June L Garces and Jose B Rosario
For an ordered subset W = {w1, w2, w3, . . . , wk} of vertices in a connected graph ...
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Article
On Completely k-Magic Regular Graphs
Mathematics Faculty Publications (2015)
Arnold A Eniego and Ian June L Garces
Let k be a positive integer. A graph G = (V (G), E(G)) is said to be k-magic if there ...
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Article
On Completely k-Magic Regular Graphs
Mathematics Faculty Publications (2015)
Arnold A Eniego and Ian June L Garces
Let k be a positive integer. A graph G = (V (G), E(G)) is said to be k-magic if there ...
Download
Article
Characterizing Convergence Conditions for the Mα-Integral
Mathematics Faculty Publications (2011)
Ian June L Garces and Abraham P Racca
Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This ...
Download
Article
Characterizing Convergence Conditions for the Mα-Integral
Mathematics Faculty Publications (2011)
Ian June L Garces and Abraham P Racca
Park, Ryu, and Lee recently defined a Henstock-type integral, which lies entirely between the McShane and the Henstock integrals. This ...
Download
Article
Revisiting a Number-Theoretic Puzzle: The Census-Taker Problem
Mathematics Faculty Publications (2010)
Ian June L Garces and Mark L Loyola
The current work revisits the results of L.F. Meyers and R. See in [3], and presents the census-taker problem as ...
Link
Article
Revisiting a Number-Theoretic Puzzle: The Census-Taker Problem
Mathematics Faculty Publications (2010)
Ian June L Garces and Mark L Loyola
The current work revisits the results of L.F. Meyers and R. See in [3], and presents the census-taker problem as ...
Link
Article
Linear Operators that Preserve the Edgesum of a Graph
Mathematics Faculty Publications (2009)
Ian June L Garces and Siegfred Alan C Baluyot
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Article
Linear Operators that Preserve the Edgesum of a Graph
Mathematics Faculty Publications (2009)
Ian June L Garces and Siegfred Alan C Baluyot
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Article
On Perfect Cayley Graphs
Mathematics Faculty Publications (2002)
Agnes Garciano, Ian June L Garces and Mari-Jo P Ruiz
A graph is perfect if each of its induced subgraphs H has the property that its chromatic number χ(H) equals ...
Link
Article
On Perfect Cayley Graphs
Mathematics Faculty Publications (2002)
Agnes Garciano, Ian June L Garces and Mari-Jo P Ruiz
A graph is perfect if each of its induced subgraphs H has the property that its chromatic number χ(H) equals ...
Link
