I haven’t shared an outline yet, but this is like draft number 29 of the TOC for Exploring Graph Theory with Julia:

Part 1: “Pure” graph theory
1. What is a graph?
2. Telling graphs apart
3. Drawing graphs

Part 2: “Applied” graph theory
4. Graphs and maps
5. Graphs and industry
6. Graphs and games
7. Graphs and music
8. Graphs and the universe
9. Graphs and knowledge

Part 1 is almost mapped out and ready to be drafted!

#Graphs #GraphTheory #JuliaLang #Math

How will global #trade networks change due to #ClimateChange

Interesting paper by Johanna Hedlund et al.: https://iopscience.iop.org/article/10.1088/1748-9326/aca68b

I like their simply approach using #GraphTheory. This means they can look at this without making any major assumptions and thus isolate the pure effect of climate change.

@Urban_Hermit It is a pity that the #Google algorithms, among them #PageRank and #HITS, which were the primary building block of Page & Brin's #IT empire, are now reduced to a mere cherry scent on big, commercial, ad-based #ML revenue-generating cake 😒

We were using these algorithms during our #graphTheory lectures, as simple, yet surprizingly powerful #networkAnalysis tools.

https://en.wikipedia.org/wiki/PageRank

https://en.wikipedia.org/wiki/HITS_algorithm

https://www.researchgate.net/profile/Sigit-Priyanta-2/publication/330826362_Social_Network_Analysis_of_Twitter_to_Identify_Issuer_of_Topic_using_PageRank/links/5cda584a458515712ea95374/Social-Network-Analysis-of-Twitter-to-Identify-Issuer-of-Topic-using-PageRank.pdf?origin=publication_detail

The #AdventOfCode challenges are getting pretty interesting! Enjoyed thinking of some graph theory #DijkstrasAlgorithm #programming #graphTheory

@bbolker In this specific case (& more generally) what about:

* network-informed citation metrics such as a centrality measure [1].

* On a social front, considering representative papers from PIs that have produced disproportionate numbers of impactful mentees (i.e., assigning value to #EmotionalLabor).

* What voices have been traditionally excluded. E.g., #indigenous ecologists may have unique outlooks on shared problems.

5/N
[1] #GraphTheory https://reference.wolfram.com/language/guide/GraphMeasures.html

@jebyrnes

Husband. Father. Human to a Landseer Newfoundland dog.

Work... systems and networks thinking.
#EnterpriseArchitecture #EA
#privacy / #infosec / #data #strategy
#GraphTheory #GraphDatabases
#SemanticWeb #KnowledgeGraphs

Not Work...
#music #edm #rock #classical
#fun #DnD #DungeonsAndDragons
#camping #outdoors #hiking #canoeing #RVing
#Scouting #Scouts #ScoutsCanada 2nd Kincardine
#CivilDefence #CivilDefense

Better living through ethnography.
Views are my own.

#arxivfeed

"Mesoscopic patterns of functional connectivity alterations in autism by contrast subgraphs"
https://www.biorxiv.org/content/10.1101/2022.11.19.517174v1

#Neuroscience #Neuro #Brain #Neuroimaging #FunctionalConnectivity #connectivity #connectome #GraphTheory #autism #ASD

#ScienceOutreach at #ImperialCollegeLondon

Presented my scientific artwork on network lasers at Imperial Lates: Tiny Science. Our research on network lasers combines #Nanophotonics, #GraphTheory and #MachineLearning to create tiny lasers whose colour of emission can be finely controlled.

#arxivfeed :

"Comparing models of information transfer in the structural brain network and their relationship to functional connectivity: Diffusion versus shortest path routing"
https://www.biorxiv.org/content/10.1101/2022.11.11.515707v1

#neuroscience #neuro #brain #network #connectome #connectivity #graph #GraphTheory #DTI #fMRI #DiffusionModel #ShortestPath

Latest research from my collaborators at #ImperialCollegeLondon, combining #LaserPhysics and #GraphTheory: https://www.imperial.ac.uk/news/241354/spiderweb-like-lasers-emit-light-controlled-colours/

Traditional lasers amplify light by repeatedly passing it through a lasing medium between two mirrors. Instead, by structuring the lasing medium in the form of a network, we can choose which regions of the network to amplify. We can then use this freedom to select the colour emitted by the laser.

Short #introduction: birdsite refugee, long-time computer #programmer with a background in #physics, #space and #cosmology aficionado, interests in graph-related (as in #graphtheory) work for #datalinkage, #calligrapher, full-circle #bellringing, video and #tabletop #gaming, proud of my kids’ independent thought, pronouns: he/him, Aussie living on #Biddegal country.

Colin the Mathmo is a maths enthusiast who gives talks on mathematics and related topics. You can follow at:

➡️ @ColinTheMathmo

Colin's website is at https://www.solipsys.co.uk

He's also the admin of the maths-themed Mastodon server https://mathstodon.xyz

#ColinTheMathmo #Mathematics #Maths #Math #Science #Geometry #GraphTheory #Infinity #Ciphers #Optimisation #Patterns #Education #Academic #Juggling

#PaperOfTheDay
Survey and Taxonomy of Lossless Graph Compression and Space-Efficient Graph Representations

http://arxiv.org/abs/1806.01799

gives an impression overview of lossless graph compression methods from 3 different perspectives:
- research areas (what do people in your field use?)
- techniques (how the graph is compressed)
- features (what type of graph/property are the focus)

@oneabstractaday
#graphTheory #science #complexNetworks

1/3

@ccppurcell finally, someone new is posting into #graphTheory 🎉
Nice work!

Btw, some tips about Mastodon:
- we try to use camelCase in hashtags here, for better readability and for screen-readers
- if you don't want to flood the local timeline, you can put all posts after the first one in "unlisted" mode (switch the 🌍 icon to 🔓 ) but know that only public (🌏 ) posts appear in hashtag searches, so all posts containing hashtags should be public, else the hashtag is useless (like mine above)

#PhD offer (in French but you can contact them to ask about it in English) on the study of non-violent protest actions and their potential impact.

The PhD will focus on the analysis of protest actions (like the Rebellion of One from XR) and use #graphTheory, modeling, and statistical analysis to evaluate their potential impact, notably on traffic.

https://www.complexnetworks.fr/wp-content/uploads/2022/04/nlles_formes_protestation.pdf

The job is in the #ComplexNetworks team in Paris.

https://www.complexnetworks.fr

What kind of #network do we want for #Mastodon (and #Fediverse in general)?

The answer may vary depending on users and communities, but let's discuss where the new follow-recommendation tool of Mastodon 3.5 leads us (https://github.com/mastodon/mastodon/pull/15945).

The evolution of a network where new users preferentially follow existing influencers can be modeled as a Price/BA network.

https://en.wikipedia.org/wiki/Barab%C3%A1si%E2%80%93Albert_model

You end up with few large influencers.
Honestly, I'm not a fan...

#graphTheory

Woah! Just realized that @tiago is on the #Fediverse, and apparently since 2018, no less!
(thanks @snehalshekatkar for the boost that made me notice)

That's definitely a great feature for the #graphTheory / #complexNetworks landscape here, if your into these topics 😀

Now I may see SBM and #graphTool news on the fediverse 👌

People have been using the clustering coefficient (CC) to characterize their favorite #networks (weighted/directed or not) for a long time, but do we know how to best define it depending on the #graph and #research question?

Our latest paper provides an overview of CC properties and interpretations, plus new fully directed and weighted definitions that we think should be useful in many fields.

https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.043124
(on arXiv with the ToC https://arxiv.org/abs/2105.06318)

#science #graphTheory

1/6

OK, to compensate the recent lack of #paperOfTheDay, here's a new preprint of mine:
"Weighted directed clustering: interpretations and requirements for heterogeneous, inferred, and measured networks"
https://arxiv.org/abs/2105.06318

I'll give details in the next post, but even if you're not into #graphTheory, you may want to check section IV.B because it talks about the #Fediverse.
I'm trying to increase its visibility by including it in my #research so I'd be happy to have feedback about it.

#science

An new "Atlas for the Aspiring Network Scientist" is out, by Michele Coscia, and they published it on #arXiv :)

https://arxiv.org/abs/2101.00863

(disclaimer: I did not read it, but the fact that the PDF and source are openly available makes it worth sharing in my opinion)

#science #graphTheory
cc @science