Abstract: The connectivity and functionality of a network can be significantly influenced by vital nodes, a subset whose behaviors are pivotal in applications like misinformation suppression and ...

Abstract: Core percolation, as a fundamental structural transition resulting from preserving core nodes in the network, is crucial in the network controllability and robustness. Prior art has ...

Although not a household scientific name like Albert Einstein or Isaac Newton, Indian mathematician Srinivasa Ramanujan—who tragically died in 1920 at the age of 32—was one of the greatest minds in ...

Ramanujan’s elegant formulas for calculating pi, developed more than a century ago, have unexpectedly resurfaced at the heart of modern physics. Researchers at IISc discovered that the same ...

IISc physicists discovered that Ramanujan’s classic π-formulas arise naturally in modern theories describing critical phenomena and black holes. The connection suggests his early mathematics may have ...

More than a hundred years ago, long before anyone imagined supercomputers or black hole simulations, legendary Indian mathematician Srinivasa Ramanujan wrote down a set of formulas to calculate the ...

Physicists from the Indian Institute of Science (IISc) have found that pure mathematical formulae used to calculate the value of pi 100 years ago by Indian mathematician Srinivasa Ramanujan has ...

Indian mathematician Srinivasa Ramanujan’s mathematical legacy, including his century-old pi formulae, reaches beyond the boundaries of pure calculation, surfacing as an essential tool for ...

Most of us first hear about the irrational number π (pi)—rounded off as 3.14, with an infinite number of decimal digits—in school, where we learn about its use in the context of a circle. More ...

Complex networks often exhibit community structure, with communities corresponding to denser subgraphs in which nodes are closely linked. When modelling systems where interactions extend beyond node ...

Researchers have unveiled a transformative framework for understanding complex systems. This pioneering study establishes the new field of higher-order topological dynamics, revealing how the hidden ...