iiinova — where your digital self keeps evolving

Charles G PhD @charlesgphd.bsky.social · 05/05/2026

This is my #ConstructiveProof of the Seymour Second Neighborhood Conjecture. It differs from papers In literature because it classifies all simple #DirectedGraphs by their minimum out-degree (#BFS & #lexorder). #math alphaxiv.org/abs/2501.0061 #MinimunCounterexample

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Charles G PhD @charlesgphd.bsky.social · 04/03/2026

I wanted to bring up my paper on the Seymour Second Neighborhood Conjecture. The #coordinatePlane and proof use a well ordering which used BFS and a minimum counterexample. #maths #math #graphtheory #mathisbeautiful #algorithm alphaxiv.org/abs/2501.00614

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Charles G PhD @charlesgphd.bsky.social · 24/02/2026

I’ll be giving a talk on my solution to SSNC at a Combinatorics Conference in March entitled A Minimum Counterexample Proof of the SSNC via the Graph Level Order

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Joaquin Castro @joaquincastrotx.bsky.social · 01/02/2026

Yesterday, five-year-old Liam and his dad Adrian were released from Dilley detention center. I picked them up last night and escorted them back to Minnesota this morning. Liam is now home. With his hat and his backpack.

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Strictly 4 My Navigators @lizzslockeroom.bsky.social · 31/01/2026

Rest easy, Demond Wilson 🥹🙏🏾💙🕊

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Charles G PhD @charlesgphd.bsky.social · 19/01/2026

How I approached the Seymour Second Neighborhood Conjecture. Standard visualizations lead to high crossing numbers, leading to difficulty in recognizing patterns. By utilizing a BFS layout, and a minimal criminal, patterns emerged. #math #graphtheory www.alphaxiv.org/abs/2501.00614

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Charles G PhD @charlesgphd.bsky.social · 19/12/2025

This is one of my first illustrations for the Seymour Second Neighborhood Conjecture #SSNC. It's an oriented graph. I noticed patterns, number of nodes in each neighborhood. #MathIsBeautiful 1->7 2->6 3->5 Second, number of cycles. 1->1 2->2 3->2 (can't have 3) alphaxiv.org/abs/2501.00614

Am image of an oriented graph for the Seymour Second Neighborhood Conjecture.

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Charles G PhD @charlesgphd.bsky.social · 12/08/2025

This is an oriented graph for the Seymour Second Neighborhood Conjecture #SSNC. Nodes are in "rooted neighborhoods". We see patterns, number of nodes in each neighborhood. #MathIsBeautiful 1->7 2->6 3->5 Second, number of cycles. 1->1 2->2 3->2 (can't have 3) alphaxiv.org/abs/2501.00614

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Charles G PhD @charlesgphd.bsky.social · 07/08/2025

I'm excited to share my #Math paper, alphaxiv.org/abs/2501.00614 It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to #Research this #OpenProblem in #GraphTheory.

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Charles G PhD @charlesgphd.bsky.social · 30/07/2025

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Charles G PhD @charlesgphd.bsky.social · 24/07/2025

I'm excited to share my latest #Math paper, alphaxiv.org/abs/2501.00614 It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to solve this #OpenProblem in #GraphTheory.

Parent nodes have a burden: they do not want their degrees to double.
Children can assist by load balancing: forming cycles in the following neighborhoods.
The children also have this burden.
These dual burdens and load balancing shrink neighborhoods and yield a contradiction

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Charles G PhD @charlesgphd.bsky.social · 18/07/2025

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Charles G PhD @charlesgphd.bsky.social · 12/07/2025

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Charles G PhD @charlesgphd.bsky.social · 01/06/2025

My Biblical thought of the day, Jesus went through Samaria, a town that Jews would walk mikes to avoid. So after the Resurrection, did this continue? Did Christians like Paul continue looking for converts in Sameria?

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Charles G PhD @charlesgphd.bsky.social · 13/05/2025

As a person with ADHD I thought Pinterest would be the thing that saved my life because I could put all those screenshots somewhere. But it's so confusing.

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Noam Ross @noamross.net · 30/04/2025

Who bears the brunt of these cuts? Well, here's a word cloud of the most frequent terms from the titles and abstracts of terminated grants, with word size proportional to frequency:

A word cloud, with words of different sizes, and different colors, with purple for the largest, red medium, and green small. "Black" stands out prominently in purple. In red, we see "climate", "student", "network", "justice", "identity", "teacher", and "undergraduate".

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Noam Ross @noamross.net · 30/04/2025

UPDATE: We have data on >1000 terminated #NSF grants at grant-watch.us. Thanks to all who have been contributing data the past few days. We've also added a "Reports" section with some analyses. For NSF, we see that the STEM education directorate has been absolutely pummeled.

Screenshot of table showing number of grants and total value terminated by NSF directorate. STEM Education directorate is highlighted, with 417 terminations totaling 322 million dollars.

CSV of table:
Directorate,No. Terminated,Total Value
Biological Sciences,46,"$27,960,075"
Computer and Information Science and Engineering,85,"$44,630,113"
Engineering,94,"$33,472,485"
Geosciences,52,"$36,454,740"
Mathematical and Physical Sciences,30,"$6,418,312"
Office of the Director,7,"$4,859,738"
STEM Education,417,"$322,680,063"
"Social, Behavioral and Economic Sciences",266,"$77,635,904"
"Technology, Innovation and Partnerships",46,"$62,231,309"

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Anonymous @youranoncentral.bsky.social · 01/05/2025

Men kidnapped by the Trump regime spell out an SOS at the Bluebonnet ICE concentration camp.

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Dime @dimeuproxx.bsky.social · 23/04/2025

A Pacers fan brought a free throw clock for Giannis 😂

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Strictly 4 My Navigators @lizzslockeroom.bsky.social · 20/04/2025

"He don't need no music!" Remembering Luther Vandross on his birthday 🕊️💙 (April 20, 1951 – July 1, 2005)

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Charles G PhD @charlesgphd.bsky.social · 20/04/2025

I want to add #PrincessBride quotes to a talk I'm giving. People are saying I shouldn't because the kids won't know the movie. I'm saying they should learn it. It's that important. Who's right? (It's me)

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Josh Johnson @joshjohnsoncomedy.bsky.social · 20/04/2025

Why does adding a tip feel like taking an SAT

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Charles G PhD @charlesgphd.bsky.social · 18/04/2025

I'm reading I Samuel and now I have the question, what does it mean when the Lord repents?

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Charles G PhD @charlesgphd.bsky.social · 17/04/2025

Did he just threaten the Supreme Court

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bppt.bsky.social @bppt.bsky.social · 14/04/2025

#ArtistFave15 #MusicChallenge 2) No Ordinary Love The seven minute lead single from Love Deluxe that feels like it should go on forever. youtu.be/au8rHGvytn8?...

youtu.be

Sade - No Ordinary Love (Live 2011)

YouTube video by SadeVEVO

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Charles G PhD @charlesgphd.bsky.social · 08/04/2025

Day 20 of #SSNC facts! We're examining how standard #algorithms handle the #SeymourConjecture's. Remember, this #Conjecture seeks an #OrientedGraph whose second neighborhood is at least as large as its first. We last looked at Dijkstra. Today, Bellman-Ford. #ComputerScience #Math

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Charles G PhD @charlesgphd.bsky.social · 06/04/2025

Day 19 of #SSNC facts! We're exploring why the #SeymourConjecture remains unsolved. Today, we examine how #algorithms like #Dijkstra #Algorithm handle the challenge of neighborhood analysis. #math #mathematics #compSci #computerScience

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Charles G PhD @charlesgphd.bsky.social · 05/04/2025

Day 18 of #SSNC facts! We're looking at the #SeymourConjecture: Does every #OrientedGraph have a node with a second neighborhood at least as large as its first? Can traditional #GraphTheory #Algorithms solve the neighborhood size challenge? Today, we examine #DepthFirstSearch (DFS). #Math

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Charles G PhD @charlesgphd.bsky.social · 04/04/2025

Day 17 of #SSNC facts! Remember, we're exploring: Does every #OrientedGraph have a node with a second neighborhood at least as large as its first? Why is this deceptively simple question still unsolved? #GraphTheory #Resesrch #Math #ComputerScience #SeymourConjecture

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Charles G PhD @charlesgphd.bsky.social · 03/04/2025

Day 16 of #SSNC facts! We've been discussing the #SeymourConjecture: It asks the questionv Does every #OrientedGraph have a node whose second neighborhood is at least as large as its first? Open since 1990, but why is this still unsolved? Let's explore. #GraphTheory #Math #ComputerScience

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Charles G PhD @charlesgphd.bsky.social · 02/04/2025

Day 15 of #SSNC facts. Remember, for a Constraint Satisfaction Problem, we're not looking for a solution, but proving there ISN'T one. If a CSP is 'unsatisfiable', it means certain scenarios that break the #SSNC are impossible, improving our bounds! #MathLogic #Bounds #SeymourConjecture

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Steve Chamraz @tmj4steve.com · 02/04/2025

:: BREAKING NOW: Multiple polling places across Milwaukee are running low or have run out of ballots as turnout is at record levels. MKE Election Commission is aware and sending out fresh ballots. If you are in line -- or know someone who is -- ballots are on the way.

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Charles G PhD @charlesgphd.bsky.social · 01/04/2025

Day 14 of #SSNC facts! We're diving into Constraint Satisfaction Problems (CSPs). Let's talk about how they are used to tackle the #SeymourConjecture. Think of CSPs as a set of rules we ask a computer to try and solve. #GraphTheory #CSP #math

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Charles G PhD @charlesgphd.bsky.social · 31/03/2025

Day 13 of #SSNC facts! Did you know #DominatingSets are relevant to the #SeymourConjecture? A dominating set is a vertex subset where every other vertex is adjacent to one in the set. How might this relate to neighborhoods? #GraphTheory #SSNC #math #compsci #ComputerScience

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Charles G PhD @charlesgphd.bsky.social · 30/03/2025

Day 12 of #SSNC facts! Fisher: Existence proof (probabilistic). Thomassé: Constructive proof (median orders). Both solved Dean's Conjecture, but Thomassé provided a path to #algorithms. This was a fundamental shift in approach! #MathematicalProofs #AlgorithmDesign #GraphTheory #SeymourConjecture

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Clément Canonne @ccanonne.github.io · 29/03/2025

We're planning a 2-day "Celebration of Theoretical Computer Science" mentoring workshop on Dec 11-12, ahead of #FOCS2025, as a satellite event held at U Sydney. Focusing on the diversity of people and thought in TCS, and the incredible advances it enabled and will continue to enable. Stay tuned!

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Charles G PhD @charlesgphd.bsky.social · 29/03/2025

Day 11 of #SSNC facts! Let's explore Thomassé's (w/ Havet) approach to the #DeanConjecture! They introduced "median orders" in tournaments. This is as a way to arrange vertices to reveal structural properties. This is a powerful combinatorial tool! #GraphTheory #MedianOrders #Combinatorics #math

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Miles W. Griffis @mileswgriffis.bsky.social · 28/03/2025

🚨 BREAKING: Long COVID research grants rescinded earlier this week have been restored, according to researchers & patient reps. Advocates organized quickly yesterday in response to the news, helping reverse the decision. Exclusive in @thesicktimes.bsky.social thesicktimes.org/2025/03/28/u...

thesicktimes.org

UPDATE: RECOVER Long COVID pathobiology grants restored - The Sick Times

Long COVID research grants from the National Institutes of Health’s RECOVER program will be restored following news stories about their abrupt cancellations and advocacy to restore the funding, accord...

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Charles G PhD @charlesgphd.bsky.social · 28/03/2025

Day 10 of #SSNC facts! The #DeanConjecture states in any tournament, there's a vertex 'v' where |out-neighborhood(v, 2)| ≥ |out-neighborhood(v, 1)|. Simply put, you can reach more vertices in 2 steps than 1. Fisher provided a probabilistic proof. #GraphTheory #SeymourConjecture #math #research

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WIRED @wired.com · 27/03/2025

Modern science wouldn’t exist without the online research repository known as arXiv. Three decades in, its creator still can’t let it go.

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Inside arXiv—the Most Transformative Platform in All of Science

Modern science wouldn’t exist without the online research repository known as arXiv. Three decades in, its creator still can’t let it go.

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Barbara Fantechi @barbarafantechi.bsky.social · 27/03/2025

My first paper on arxiv is more than 30 years ago. Thank you, arxiv, for existing.

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Charles G PhD @charlesgphd.bsky.social · 27/03/2025

Day 9 of #SSNC facts! Let's explore #tournaments. These are complete #OrientedGraphs. Every node pair has exactly one directed edge. The #DeanLatkaConjecture asks: is there always a node with a second neighborhood at least as large as its first? #GraphTheory #Math #research

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