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Strategyproof Mechanisms for Euclidean Facility Location Problems under $L_p$-norm Social Cost
arXiv:2606.08621v1 Announce Type: new Abstract: We study strategyproof mechanisms for eliciting agents' location preferences truthfully in the Euclidean plane $\mathbb R^2$ and locating a facility so as to minimize the $L_p$-norm social cost, defined as the $L_p$-norm of the vector of distances from the facility to the agents' preferred locations, for any $p \ge 1$. While the cases $p=1$ and $p=\infty$ have been well-studied, open questions remain about the optimal approximation ratios...
UP gets permanent DGP after 4 years, Rajeev Krishna appointed state police chief
Ending nearly four years of uncertainty at the top of the state's police hierarchy, the Uttar Pradesh government on Saturday appointed 1991 batch IPS Rajeev Krishna as the state's new Director General of Police (DGP), making him the first permanent police chief since 2022. Krishna who had succeeded Prashant Kumar as acting DGP last year in May 2025, will now head the country's largest police force with nearly three years of service remaining before his retirement in June 2029. Krishna , who...
Single entry-exit route: 21 killed after fire engulfs Delhi hotel; woman jumps from 3rd floor with kid
At least 21 people were killed and several others injured after a massive fire broke out at a restaurant in south Delhi's Malviya Nagar on Wednesday morning, officials said. The blaze erupted at Flourish Stay B&B, which had only single entry-exit route. A large-scale rescue operation was launched involving the Delhi Fire Service (DFS), Delhi Disaster Management Authority (DDMA), police, and ambulance services.
SKY's poor form continues; India T20 skipper out for 19 off 11 balls
At a time when there is huge speculation around whether he would stay on as India’s T20 captain for the tours of Ireland and England, Suryakumar Yadav’s poor form shows no sign of relenting. On Tuesday, the 35-year-old, captaining Triumph Knights in their opening match of Season 4 of the T20 Mumbai League, was out for 19 off 11 balls as his team lost by 21 runs against North Mumbai Panthers at the Wankhede Stadium. Surya started off well, adding 37 in 25 balls for the third wicket with...