#graphTheory
October Notes. Beginning of a deeper use of graph theory in text (my own notes and Eric Selland's translation of Yoshioka Minoru's Kusudama).

foldingnotes.substack.com/p/october-ra...

#notes #poetry #reading #haiku #haibun #graphtheory #translation
November 1, 2026 at 2:02 PM
An exploration of Eric Selland's translation of Kusudama using graphs (mathematical graphs with nodes and edges).

foldingnotes.substack.com/p/kusudama-g...

#poetry #translation #graphs #graphtheory #Japan
October 31, 2026 at 4:14 PM
Problem 2: THE LIGHTHOUSE RING.

A lighthouse, n harbor towns in a ring, 2n cables.

Keep exactly n so everything stays connected with no loops.

How many ways? Find the closed form.

Hint 1 is live.

Solution 1 tomorrow.

#QEDEventually #GraphTheory #DiscreteMath #LinearAlgebra #MathPuzzle
November 3, 2026 at 3:12 PM
Discovered infinite family of graph parameters generalizing the Lovász number in the entanglement-assisted spectrum. Proved multiplicativity under strong products and resolved open conjectures on quantum channel zero-error capacities and simulation costs.

#QuantumInformation #GraphTheory #Research
Continuum of Rényi Points in the Entanglement-Assisted Spectrum of Graphs
iq.fp2.dev
November 1, 2026 at 7:20 AM
Welcome Prof. Dr. J. Alberto Conejero from Universitat Politècnica de València, Spain, as an Invited Speaker of #IOCP2026– the 2nd International Online Conference on Photonics (Online | 14–16 December 2026)!
Details: sciforum.net/event/IOCP2026
#MDPIConference #openaccess #Photonics #graphtheory
October 23, 2026 at 9:30 AM
An exploration of graph theory and how it can be used to explore my writing.

foldingnotes.substack.com/p/graphing-n...

#haiku #poetry #notes #graphs #mathematics #graphtheory #conceptgraph #wordgraph #soundgraph
October 14, 2026 at 10:58 PM
#Math #GraphTheory #AI

My latest blog post discusses OpenAI's recent mathematical research dump and contrasts it with the way research has proceeded since at least the time of Euler.

Check it out! Likes and comments here will automatically appear there.

blog.marksmath.org/posts/ProofP...
Proof, Progress, and Königsberg – Blog @ Mark’s Math
This post presents a discussion of how the mathematical community develops understanding using Euler’s solution of the seven bridges of Königsberg as a guide. We also contrast that with the effect of ...
blog.marksmath.org
October 12, 2026 at 10:38 AM
Quantum framework for graph K-coloring reduces qubit requirements from O(NK) to O(N log₂K) through binary encoding and optimized constraints, demonstrated across Grover, QAOA, and quantum annealing solvers.

#QuantumAlgorithms #GraphTheory #Research
Quantum Framework for K-Coloring of Graphs
iq.fp2.dev
October 8, 2026 at 3:52 PM
AIによる「Unique Games Conjecture」証明の波紋:人間と機械の競争が理論計算機科学にもたらす変革

AIの数学・計算量理論への進出と、人間研究者による直前のマイルストーン達成の攻防を解説。

#TheoreticalComputerScience #AI #GraphTheory #AutomatedReasoning #ComputationalComplexity
AIによる「Unique Games Conjecture」証明の波紋:人間と機械の競争が理論計算機科学にもたらす変革
AIの数学・計算量理論への進出と、人間研究者による直前のマイルストーン達成の攻防を解説。
ai.warp-studio.com
October 8, 2026 at 2:26 AM
October 5, 2026 at 5:02 PM
Mathematicians Build Long-Awaited Graph Sandwich
#GraphTheory
Mathematicians Build Long-Awaited Graph Sandwich | Quanta Magazine
The proof of a decades-old conjecture has given researchers a new way to understand complex networks.
www.quantamagazine.org
October 2, 2026 at 6:49 PM
Still happy to support any and all polyhedra or other shapes in Issaquah if they reduce costs and get us better transit sooner. #I❤️graphtheory
October 2, 2026 at 3:41 AM
Mathematicians Build Long-Awaited Graph Sandwich
#GraphTheory
Mathematicians Build Long-Awaited Graph Sandwich | Quanta Magazine
The proof of a decades-old conjecture has given researchers a new way to understand complex networks.
www.quantamagazine.org
October 2, 2026 at 6:49 PM
Dense network graphs usually turn into unreadable “hairballs.” 🧶

BioFabrics solves this by using horizontal lines for nodes and vertical connections for edges—keeping dense data clear and readable.

Watch the breakdown on YouTube:
www.youtube.com/watch?v=Dk0o...

#DataViz #GraphTheory
An Introduction to Biofabrics: a Tabular Approach to Network Visualization
YouTube video by yWorks
www.youtube.com
September 24, 2026 at 10:00 AM
Shows how equitable graph partitions enable exponential resource reduction in composite quantum-like systems while preserving eigenspectra and topology, reducing scaling from N^(N_QL) to 2^(N_QL).

#QuantumLikeSystems #GraphTheory #Research
Minimal Representations of Topology-Preserving Quantum-Like States
arxiv.org
September 24, 2026 at 4:00 AM
DAMN, my GDK: Games, Dimensions & Knots course didn’t teach me this and we extensively studied the Rubik’s cube, lol our test was to solve it under 3mins, I wish we studied it from the angle… I guess I will have to xD
#artificialintelligence #machinelearning #graphtheory #datascience #techinsights #algorithms #problemsolving | Towhidul I.
A Rubik's Cube isn't actually a puzzle. It’s a graph theory problem with over 43 quintillion states. When most people look at a scrambled cube, they see a chaotic mix of colors. Computer scientists...
www.linkedin.com
September 24, 2026 at 4:13 AM
This fascinating story from Quanta Magazine shows how connections between seemingly different areas of mathematics can lead to new ways of thinking about a problem.

Read more: www.quantamagazine.org/networks-hol...

#Mathematics #GraphTheory #NetworkScience #MathModeling
September 21, 2026 at 4:12 PM
New operator-theoretic invariant framework using Pauli decompositions for periodic and quasicrystalline graph structures, enabling quantum system comparison and graph classification via local neighborhood analysis.

#QuantumInformation #GraphTheory #Research
Pauli Support Invariants for Periodic Graph-Derived Hamiltonians
iq.fp2.dev
September 16, 2026 at 8:48 AM
Researchers reduced quantum state classification complexity by connecting complete orthogonal product bases to graph theory, lowering variable bounds from 2^n to 2^(n-1) and revealing doubly exponential growth.

#QuantumInformation #GraphTheory #News
Graph-Theoretic Approach Simplifies Classification of Quantum Orthogonal Product Bases
quantumzeitgeist.com
September 15, 2026 at 6:35 PM
Graph theory exposes hidden style: Freudenberg = decentralized network, Losev = dense philosophy hub, Meletinskii = uniform academic grid.
nevmenandr.github.io/portfolio/as...
#GraphTheory #DigitalHumanities #Linguistics
August 20, 2026 at 4:12 PM
Reduces classification of n-qubit OPBs to graph isomorphism via edge-colored multigraphs. Establishes asymptotic growth a_n = 2^(2^n + o(n)) and presents a layered algorithm for equivalence testing without enumerating row permutations.

#QuantumInformation #GraphTheory #Research
Multiqubit Orthogonal Product Basis Classification via Graph Isomorphism
arxiv.org
August 20, 2026 at 6:39 AM
August 15, 2026 at 5:51 AM