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@KirkDBorne: Introduction to Graph Theory: https://arxiv.org/abs/2308.04512 (454-page PDF) — edges, vertices, trees, networks, paths…

X AI KOLs Timeline ↗ · yesterday Cached

Darij Grinberg's 454-page graduate-level textbook 'Introduction to Graph Theory' (Spring 2025 edition, Drexel University Math 530) covers simple graphs, trees, Eulerian/Hamiltonian cycles, colorings, matchings, and network flows, with around a hundred exercises.

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#network-science

Coherence-Driven Belief Formation and Population Dynamics of Contagion in LLM Agents

arXiv cs.AI ↗ · 2026-10-05 Cached

This paper empirically measures how language model agents adopt beliefs from peers, finding a sigmoid adoption kernel characteristic of complex contagion, where the threshold is driven by a single 'coherence' dimension combining claim plausibility, source reliability, and agent disposition. It further shows clustered-network propagation, bifurcating cascade windows, and hysteretic consensus in multi-agent populations, meaning established beliefs are far harder to dislodge than to install.

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#network-science

Fundamental Dynamical Units for Physics-Informed Structural Inference from Perturbation Time-Series in Networked Systems

arXiv cs.LG ↗ · 2026-09-14 Cached

The paper introduces Fundamental Dynamical Units (FDUs) as composable primitives for physics-informed structural inference in networked dynamical systems, using neural ODEs to recover interaction structures from perturbation time-series data.

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#network-science

@KirkDBorne: Graph Algorithms for Data Science: http://amzn.to/4s41GJ5 I have said this for years: "All the world is a graph!" The n…

X AI KOLs Timeline ↗ · 2026-07-25 Cached

Promotion of the book 'Graph Algorithms for Data Science' which teaches graph algorithms and their applications using Neo4j, covering topics like knowledge graphs, social network analysis, and node embeddings.

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#network-science

On the feasibility of dependency parsing of non-human sequences without a gold standard. Is evaluation possible in other species?

arXiv cs.CL ↗ · 2026-07-08 Cached

This paper investigates whether dependency parsing of non-human primate vocalizations or gestures can be evaluated without a gold standard. Using network science, the authors show that the proportion of correct edges retrieved by a parser is necessarily high due to the fast decay of sequence length distributions in non-human primates, making evaluation feasible, unlike for human language.

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#network-science

Study reveals what people see when they read lips

Hacker News Top ↗ · 2026-07-01 Cached

University of Kansas researchers used network science to map visual similarities in spoken English words, finding that about one-third of words look like at least one other word when lip-read. The study offers insights into common lip-reading errors and could improve training for humans and AI lip-reading systems.

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