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math.GM2021
Propagating Graceful Graphs and Trees
Keneth Adrian Dagal, Kristoffer Karan Hugo
In an attempt to prove the Graceful Tree Conjecture, we present two propagation of graphs. The first is to propagate graceful graphs, and the second is to propagate trees from a gr…
math.GM2020
Sylvester's Conjecture and the Egyptian Fractions
Keneth Adrian Dagal
This paper attempts to prove the Sylvester's conjecture using Egyptian Fractions with two key ingredients. First, creating a set of operators that completely generates all possible…
math.GM2020
Bounds for the Number of Terms of Harmonic Sums
Keneth Adrian Dagal
This paper provides bounds for the number of terms, denoted by , of a harmonic sum with the condition that it starts from any arbitrary unit fraction , , unt…