Tootfinder

Republicans vow to block Democrats’ effort to enforce ethics code in supreme court – live
The push for ethics comes after reports of justices, including Clarence Thomas and Samuel Alito, accepting lavish gifts and travel opportunities
Sen. Lindsey Graham, the top Republican on the Judiciary Committee, plans to block an effort by Senate Democrats to unanimously pass a Supreme Court ethics bill Wednesday on the Senate floor.
Senate Majority Whip Dick Durbin, D-Ill., who chair…

This https://arxiv.org/abs/2111.00879 has been replaced.
link: https://scholar.google.com/scholar?q=a

Growth rates of the bipartite Erdős-Gyárfás function
Given two graphs $G, H$ and a positive integer $q$, an $(H,q)$-coloring of $G$ is an edge-coloring of $G$ such that every copy of $H$ in $G$ receives at least $q$ distinct colors. The bipartite Erdős-Gyárfás function $r(K_{n,n}, K_{s,t}, q)$ is defined to be the minimum number of colors needed for $K_{n,n}$ to have a $(K_{s,t}, q)$-coloring. For balanced complete bipartite graphs $K_{p,p}$, the function $r(K_{n,n}, K_{p,p}, q)$ was studied systematically in [Axenovich, Füredi and Mubayi, {\…

It seems largely forgotten that Clarence Thomas is the willing beneficiary of informal Affirmative Action because he is a black person.
When Thomas was nominated, the Senate had had a quite unpleasant experience with the non-confirmation of Robert Bork to SCOTUS.
Since Thomas was a black nominee to fill the seat previously held by SCOTUS's first black justice, Thurgood Marshall, Thomas got an affirmative action pass on his make-it-up "natural law" views and weak all…

Thomas' "Son" Faces 25 Years On Drugs/Guns Charges - Joe.My.God.
https://www.joemygod.com/2024/06/thomas-son-faces-25-years-on-drugs-guns-charges/

Thomas’ “Son” Faces 25 Years On Drugs/Guns Charges
The Business Insider reports: The man who was raised by Supreme Court Justice Clarence Thomas and his wife, Ginni, as their own son from ages 6 to 19 is in jail awaiting trial on drugs and weapons cha

Alito Slams ProPublica's Reporting on Clarence Thomas, Supreme Court -- Rolling Stone https://www.rollingstone.com/politics/politics-features/samuel-alito-supreme-court-recording-propublica-windsor-123503779…

New Audio: Alito Bashes ProPublica for Reporting on Supreme Court Ethics
Supreme Court Justice Samuel Alito in a new recording suggests partisan funding is to blame for coverage of justices’ undisclosed luxury gifts.

NFC Notes: Micah Parsons, Darren Waller, Cowboys, Eagles, Giants https://www.yardbarker.com/nfl/articles/nfc_notes_micah_parsons_darren_waller_cowboys_eagles_giants/s1_17039_40470479

NFC Notes: Micah Parsons, Darren Waller, Cowboys, Eagles, Giants
Cowboys DE Micah Parsons has been absent from the team’s voluntary workouts this offseason as he looks to get his body right for the season. Parsons admitted his relationship with new DC Mike Zimmer isn’t where it needs to be yet but he’s excited to get on the same page.  “Honestly, me and Zim have probably said a total of 20 words together,” Parsons said, via Clarence E. Hill Jr. of the Fort Worth Star-Telegram. “He’s a very quiet person. All I keep hearing from the coaches, ‘…

This https://arxiv.org/abs/2308.15387 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The power of many colours
A classical problem, due to Gerencsér and Gyárfás from 1967, asks how large a monochromatic connected component can we guarantee in any $r$-edge colouring of $K_n$? We consider how big a connected component can we guarantee in any $r$-edge colouring of $K_n$ if we allow ourselves to use up to $s$ colours. This is actually an instance of a more general question of Bollobás from about 20 years ago which asks for a $k$-connected subgraph in the same setting. We complete the picture in terms of…

This https://arxiv.org/abs/2112.11084 has been replaced.
link: https://scholar.google.com/scholar?q=a

Curvature-driven transport of thin Bingham fluid layers in airway bifurcations
The mucus on the bronchial wall forms a thin layer of non-Newtonian fluid. One of the roles of mucus is to protect the lungs by capturing inhaled pollutants. It is transported by mucocilliary clearance toward the tracheo-pharyngeal bifurcation, where it is eliminated. Due to the corrugation of its interface with air, the mucus layer is subject to surface tension forces that interact with its rheology. It is still not clear whether these forces can affect mucus displacement and, if they can, und…

In a forthcoming book, "The New Landlord, Powered by Big Data, and Artificial Intelligence"
James Nelson reveals that real estate heir, Harlan Crow created rent-gouging corporation RealPage in 1998
Yeah, that Harlan Crow, the owner of at least one US Supreme Court Justice: Clarence Thomas

FBI raid on real estate company linked to Harlan Crow's RealPage rental price fixing
A tip of the hat to David Cay Johnston, who opened his interview on the Mark Thompson Show yesterday by noting a story that, so far as I can tell at this time, has been completely blacked out of the news mainstream media. Two weeks ago, on Wednesday,...

This https://arxiv.org/abs/2405.01890 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Counterexamples to two conjectures on mean color numbers of graphs
The mean color number of an $n$-vertex graph $G$, denoted by $μ(G)$, is the average number of colors used in all proper $n$-colorings of $G$. For any graph $G$ and a vertex $w$ in $G$, Dong (2003) conjectured that if $H$ is a graph obtained from a graph $G$ by deleting all but one of the edges which are incident to $w$, then $μ(G)\geq μ(H)$; and also conjectured that $μ(G)\geq μ((G-w)\cup K_1)$. We prove that there is an infinite family of counterexamples to these two conjectures.