New Simplified Proofs of Brooks' Theorem for Computer Science Education
Two concise proofs simplify teaching Brooks' Theorem on graph coloring, revising earlier approaches and combining methods; the note was updated in October 2025. Read more: getnews.me/new-simplified-proofs-of... #graphcoloring #brooks #cseducation
Neurosymbolic Fast‑and‑Slow AI Improves Graph Coloring
The new neurosymbolic system SOFAI v2 improves graph‑coloring success by 10.5 % and runs up to 30 % faster by pairing a rapid LLM‑based module with a metacognitive check. Read more: getnews.me/neurosymbolic-fast-and-s... #neurosymbolic #graphcoloring #AI
Orientation does not aid 3‑coloring grids in online‑LOCAL and SLOCAL models
Providing a global grid orientation does not lower the Ω(log n) locality needed for 3‑coloring in online‑LOCAL or SLOCAL models, matching prior lower‑bound. Read more: getnews.me/orientation-does-not-aid... #distributed #graphcoloring
Improper coloring breakthroughs for toroidal graphs
New research shows every toroidal graph can be colored with scheme (0,0,0,0,0,1*), where five classes are edge‑free and sixth allows one edge; paper was submitted on 19 Sep 2025. Read more: getnews.me/improper-coloring-breakt... #graphcoloring #toroidalgraphs
Minimum Sum Coloring with Bundles: Trees and Bipartite Graphs
Researchers prove the bundled minimum sum coloring problem remains NP‑hard even on simple path graphs, while offering fixed‑parameter tractability by bundle count on trees. Read more: getnews.me/minimum-sum-coloring-wit... #graphcoloring #algorithms
Vision-Guided Graph Coloring Automates Rearrangement Abstractions
Vision‑guided graph coloring lets robots derive abstractions from raw images of initial and goal states; tested on two simulated rearrangement tasks, it outperformed handcrafted baselines. getnews.me/vision-guided-graph-colo... #robotics #graphcoloring
New Algorithm Uses Co‑Triangle Packing to Speed Up Graph Coloring
A new algorithm uses co-triangle packing to achieve O*(2^{3k/2}) runtime for dual coloring, improving the previous O*(4^k) bound, and reaches O*(2^{6k}) for (ω+μ̅‑k)-Coloring. getnews.me/new-algorithm-uses-co-tr... #graphcoloring #algorithm
What do x86 registers and sudoku have in common? We will find out today as we learn how to assign variables to registers in #EssentialsOfCompilation with @gleam.run. Join me in about 25 minutes:
www.youtube.com/live/U72bQ1t...
#GleamLang #Compilers #GraphColoring
