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Felipe Santibañez-Leal

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#edge computing Open access Sep 2026

Berge-Fulkerson Covers, Cycle Double Covers, Flows and Exact Normality Defects of the First Counterexamples to the Petersen Coloring Conjecture

Jaeger's Petersen coloring conjecture (1988), which asserted that every bridgeless cubic graph admits an edge map onto the Petersen graph sending every vertex star onto a vertex star, was refuted in August 2026: Putman exhibited two nonisomorphic 112-vertex counterexamples with SAT-solver certificates, Jooken gave a hu...

Felipe Santibañez-Leal · 2 citations
#edge computing Open access Sep 2026

Frobenius Minimality, Minimum-Layer Uniqueness, and an Infinite Family of Huneke-Wiegand Counterexamples

Son Pham publicly identified a counterexample to the Huneke-Wiegand conjecture in the class of two-generated monomial ideals over symmetric numerical semigroup rings, subsequently verified by Professor Craig Huneke. We preserve that discovery priority and answer two different questions: how small can such an example be...

Felipe Santibañez-Leal · 0 citations
#edge computing Open access Sep 2026

Physics-Informed Reconstruction of Unmeasurable Cardiac Fields from Real Data: Electrocardiographic Imaging and 4D-Flow Aortic Pressure, Verified Against Known Answers, with Null Results

Two clinically decisive cardiac quantities cannot be measured where they are needed: the heart-surface potential map (measured only with an invasive electrode cage) and the intra-vascular pressure field (measured only with a catheter). Each is tied by a governing equation to a quantity measurable non-invasively, the bo...

Felipe Santibañez-Leal · 0 citations
#edge computing Open access Sep 2026

Physics-Informed Reconstruction of Unmeasurable Cardiac Fields from Real Data: Electrocardiographic Imaging and 4D-Flow Aortic Pressure, Verified Against Known Answers, with Null Results

Two clinically decisive cardiac quantities cannot be measured where they are needed: the heart-surface potential map (measured only with an invasive electrode cage) and the intra-vascular pressure field (measured only with a catheter). Each is tied by a governing equation to a quantity measurable non-invasively, the bo...

Felipe Santibañez-Leal · 0 citations
#edge computing Open access Sep 2026

Berge-Fulkerson Covers, Cycle Double Covers, Flows and Exact Normality Defects of the First Counterexamples to the Petersen Coloring Conjecture

Jaeger's Petersen coloring conjecture (1988), which asserted that every bridgeless cubic graph admits an edge map onto the Petersen graph sending every vertex star onto a vertex star, was refuted in August 2026: Putman exhibited two nonisomorphic 112-vertex counterexamples with SAT-solver certificates, Jooken gave a hu...

Felipe Santibañez-Leal · 0 citations
#edge computing Open access Sep 2026

Berge-Fulkerson Covers, Cycle Double Covers, Flows and Exact Normality Defects of the First Counterexamples to the Petersen Coloring Conjecture

Jaeger's Petersen coloring conjecture (1988), which asserted that every bridgeless cubic graph admits an edge map onto the Petersen graph sending every vertex star onto a vertex star, was refuted in August 2026: Putman exhibited two nonisomorphic 112-vertex counterexamples with SAT-solver certificates, Jooken gave a hu...

Felipe Santibañez-Leal · 1 citation
#edge computing Open access Sep 2026

Physics-Informed Reconstruction of Unmeasurable Cardiac Fields from Real Data: Electrocardiographic Imaging and 4D-Flow Aortic Pressure, Verified Against Known Answers, with Null Results

Two clinically decisive cardiac quantities cannot be measured where they are needed: the heart-surface potential map (measured only with an invasive electrode cage) and the intra-vascular pressure field (measured only with a catheter). Each is tied by a governing equation to a quantity measurable non-invasively, the bo...

Felipe Santibañez-Leal · 0 citations
#diffusion models Open access Sep 2026

A Physics-Informed Neural Network Atlas: Sub-Percent on Smooth Forward PDEs, Orders Worse on Inverse, High-Frequency and Real Data

Physics-informed neural networks (PINNs) are promoted as a general differential-equation solver, but the accuracy actually achieved varies by orders of magnitude across problem types, and that variation is rarely laid out in one place. This report is a method atlas: a runnable catalogue in which each of the state-of-th...

Felipe Santibañez-Leal · 0 citations
#edge computing Open access Aug 2026

Frobenius minimality, minimum-layer uniqueness, and an infinite family of Huneke-Wiegand counterexamples

Son Pham publicly identified the first counterexample to the Huneke-Wiegand conjecture in the class of two-generated monomial ideals over symmetric numerical semigroup rings, subsequently verified independently by Professor Craig Huneke. This preprint preserves that discovery priority and develops separate extensions:...

Felipe Santibañez-Leal · 0 citations
#edge computing Open access Aug 2026

Frobenius minimality, minimum-layer uniqueness, and an infinite family of Huneke-Wiegand counterexamples

Son Pham publicly identified the first counterexample to the Huneke-Wiegand conjecture in the class of two-generated monomial ideals over symmetric numerical semigroup rings, subsequently verified independently by Professor Craig Huneke. This preprint preserves that discovery priority and develops separate extensions:...

Felipe Santibañez-Leal · 0 citations
#edge computing Open access Aug 2026

Frobenius minimality, minimum-layer uniqueness, and an infinite family of Huneke-Wiegand counterexamples

Son Pham publicly identified the first counterexample to the Huneke-Wiegand conjecture in the class of two-generated monomial ideals over symmetric numerical semigroup rings, subsequently verified independently by Professor Craig Huneke. This preprint preserves that discovery priority and develops separate extensions:...

Felipe Santibañez-Leal · 0 citations

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