https://community.wolfram.com RSS Feed for Wolfram Community showing any discussions tagged with Graphs and Networks sorted by active. https://community.wolfram.com/groups/-/m/t/3657330 ![The First Gamebook: a graph-theoretic computational analysis of Consider the Consequences (1930)][1] &[Wolfram Notebook][4] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=_Screenshot2026-03-12at2.22.56%E2%80%AFPM.jpg&userId=11733 [2]: https://community.wolfram.com//c/portal/getImageAttachment?filename=TheFirstGamebook.png&userId=20103 [3]: https://community.wolfram.com//c/portal/getImageAttachment?filename=TheFirstGamebook.png&userId=20103 [4]: https://www.wolframcloud.com/obj/796787d5-db95-467a-a734-e51d94b79f37 Zsombor Méder 2026-03-11T08:15:44Z https://community.wolfram.com/groups/-/m/t/3657540 https://www.wolframcloud.com/obj/6c3f3541-7f68-452f-bb6b-25201369c3cf The unit cube {0,1}^3 — the RGB color lattice — contains a geometrically distinguished axis: the principal diagonal from (0,0,0) to (1,1,1), along which all coordinates are equal. This diagonal is the null space of the differentiation operator D(v) = {r-g, g-b, r-b}. Every point on it maps to zero. It is the axis of zero contrast — a path that traverses the full interior of the cube from minimum to maximum while producing no distinguishable information along its length. Viewed from the side, this path threads through the center of creation's geometry like a line with no allegiance to any axis. Viewed from its own endpoint — looking along its length — the path collapses to a point, and the six chromatic vertices arrange themselves around it in a closed loop. The same object appears as a line from one angle and a circle from another, depending only on the observer's orientation. The orthogonal complement at the cube center (1/2, 1/2, 1/2) produces three mutually perpendicular lines aligned with the R, G, and B axes — a cruciform structure representing the directions of maximum differentiation. This structure intersects the diagonal at the exact center of the cube. The diagonal cannot pass from (0,0,0) to (1,1,1) without passing through the point where the three orthogonal axes cross. These two objects — the diagonal and the cross — occupy the same center point and together span R^3. One is the null space of differentiation. The other contains its maximum. They are complementary in the precise linear-algebraic sense. And they are perpendicular — the path of zero differentiation must pass through the point of maximum differentiation to complete its traversal. The perpendicular cross-section through the cube center, normal to the diagonal, intersects the cube in a hexagon whose vertices are the six chromatic states. Viewed along the diagonal, the cube's three-dimensional geometry projects into a flat circular arrangement — a closed cycle of colors that appears self-contained until you realize it is the shadow of a deeper structure collapsed by one dimension of observation. The attached notebook includes an interactive displacement operation showing what happens when a point is moved from the diagonal center to the vertex {1,1,0}: the Blue component drops to zero while Red and Green maximize. The displaced point sits one Hamming bit from White (1,1,1) — maximally close to completion while permanently lacking the one component that would complete it. The path of zero differentiation delivers the point to a state of almost. Two open questions for the community: First — under what algebraic operation can a vertex at Hamming distance 1 from White acquire its missing basis component, and what geometric constraints prevent that acquisition from the displaced position? Second — is it coincidental that the null space of differentiation in this lattice must pass through the orthogonal complement's intersection point to complete its traversal, or does this reflect a deeper structural necessity in discrete binary state spaces? Notebook attached. CC0. — Dustin Sprenger Dustin Sprenger 2026-03-12T01:51:16Z https://community.wolfram.com/groups/-/m/t/401838 Hi all, As we are writing up a publication for which we used the built-in function **MorphologicalGraph**, I was wondering whether someone could tell if this function is based on a known, named algorithm so that I can also refer to the exact algorithm that lies at the basis of our findings. Thanks, Jan Jan Baetens 2014-12-04T12:01:47Z https://community.wolfram.com/groups/-/m/t/3649071 ![Claude cycles -- How to split a 3D toroidal lattice. -- AI logic & Knuth's conjecture: Claude LLM's generalized rule for 3D toroidal Hamiltonian lattices ][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Claudecycles--Howtosplita3Dtoroidallattice.png&userId=20103 [2]: https://www.wolframcloud.com/obj/cbad4daa-0f63-4d5b-a142-078ad6c26421 Ed Pegg 2026-03-04T23:01:22Z https://community.wolfram.com/groups/-/m/t/3646989 ![Salvo Combat Modeling: Battle of Coronel][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=SalvocombatmodelingBattleofCoronel.png&userId=20103 [2]: https://www.wolframcloud.com/obj/3a7678cb-0540-4a1d-85d8-793ac90dbe65 Anton Antonov 2026-03-01T18:18:51Z https://community.wolfram.com/groups/-/m/t/3631132 Hello everyone, I am developing a model of spacetime that shares some fundamental concepts with the Wolfram Physics Project but introduces a specific focus on testability and quantum noise signatures. In my theory, spacetime is represented as a finite directed quantum graph. The core idea is that the connectivity of the graph isn't just an abstract representation but directly dictates the physical observables we see in quantum systems. Key features of the model: Discrete Topology: Nodes represent Planck-scale events, and directed edges represent causal relationships. Emergent Physics: I have derived that the Einstein field equations and Maxwell's equations emerge as a low-energy limit of these graph dynamics. Experimental Predictions: Most importantly, the model predicts specific spectral signatures in the decoherence noise of current NISQ-era quantum processors and anomalies in high-energy particle scattering. Iam looking for collaborators who are interested in: Visualizing the graph dynamics using the Wolfram Language. Simulating the noise patterns to compare them with existing data from IBM or Google quantum hardware. I believe that by identifying the right "rewrite rules" for this directed graph, we can bridge the gap between discrete spacetime models and experimental verification. Looking forward to your feedback and potential collaboration! Sergej Materov 2026-01-30T11:52:49Z https://community.wolfram.com/groups/-/m/t/2593151 **Introducing our brand new YouTube channel, [Wolfram R&D][1]! Our channel features livestreams, behind-the-scenes creator presentations, insider videos, and more.** ---------- Join us for the unique Wolfram R&D livestreams on [Twitch][2] and [YouTube][3] led by our developers! You will see **LIVE** stream indicators on these channels on the dates listed below. The live streams provide tutorials and behind the scenes look at Mathematica and the Wolfram Language directly from developers. 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Lenggenhager 2025-08-11T15:17:47Z https://community.wolfram.com/groups/-/m/t/3594686 [![Numerically 2026 is unremarkable yet happy: semiprime with primitive roots][1]][2] &[Wolfram Notebook][3] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Numerically2026isunremarkableyethappysemiprimewithprimitiveroots.png&userId=20103 [2]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Numerically2026isunremarkableyethappysemiprimewithprimitiveroots.png&userId=20103 [3]: https://www.wolframcloud.com/obj/69781695-a7d5-4734-bf59-80ba72537964 Anton Antonov 2025-12-21T20:34:09Z https://community.wolfram.com/groups/-/m/t/3633790 ![Polycyclic Geometric Realizations of the Gray Configuration][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=PolycyclicGeometricRealizationsoftheGrayConfiguration.png&userId=20103 [2]: https://www.wolframcloud.com/obj/80478b88-0368-4ccd-89b0-75a848cdfb2b Leah Berman 2026-02-03T16:32:37Z https://community.wolfram.com/groups/-/m/t/3629162 ![[WWS26] Birdwatching: A tale of S combinator arithmetic][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=birdy.jpg&userId=2851656 [2]: https://www.wolframcloud.com/obj/7a744e7c-97b0-426e-8b1e-fa990fd0ae47 Russell Martinez 2026-01-27T18:19:34Z https://community.wolfram.com/groups/-/m/t/3623800 &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/9748b87a-8a46-4a41-8ff7-63d03a77ad23 Naman T. 2026-01-24T08:40:01Z https://community.wolfram.com/groups/-/m/t/3622456 ![Mathematical Games 37: Two Phi Psi Chi Rho (2 φ ψ χ ρ)][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=MathematicalGames37TwoPhiPsiChiRho2%CF%86%CF%88%CF%87%CF%81.png&userId=20103 [2]: https://www.wolframcloud.com/obj/7c4c0ff2-3911-4c19-b956-a776fafc4040 Ed Pegg 2026-01-22T16:59:42Z https://community.wolfram.com/groups/-/m/t/3614977 ![enter image description here][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Screenshot2026-01-20at11.18.06%E2%80%AFp.m..png&userId=2028758 [2]: https://www.wolframcloud.com/obj/6d4d2873-3f1c-41d4-b4f0-fa746af5bd5a Alejandra Ortiz Duran 2026-01-21T05:24:19Z