Mathematical graph tools reveal electronic secrets of butterfly-shaped nanographenes
A new mathematical study uses degree-based topological indices, Shannon entropy and adjacency eigenvalues to predict the π-electron energy of butterfly-shaped ...
Tag: graph theory
Hidden Graph Network Found in Simplest Quantum Interaction Unifies Atom-Light Coupling
Researchers in Seoul have developed a magnetic graph theory that reveals a vast hidden network of quantum states in the ...
AI System Cracks Decades-Old Math Problems Using Machine-Verified Proofs
The AlphaProof Nexus AI framework autonomously solved dozens of previously open mathematics problems by generating formal proofs verified step by ...
Scientists Turn Dream Stories Into Networks to Map the Hidden Architecture of the Mind
Researchers applied graph theory to thousands of dream and mind-wandering reports, revealing distinct network structures that carry individual fingerprints and ...
New Topological Tool Splits Networks Into Persistence-Based Partitions
Researchers have introduced the persistence partition, a non-parametric method using persistent homology to group network nodes in ways that conventional ...
Brain Network Scans Reveal Depression Looks Different in Teenagers and Adults
A landmark MRI study of over 1,000 people shows that adolescent and adult depression share some structural brain network disruptions ...
Dementia Brain Rewires Itself to Keep Stepping Fast, fNIRS Study Reveals
A new fNIRS study shows that older adults with dementia reorganize their prefrontal networks into more segregated local clusters, and ...
New Random-Walk Method Keeps Its Grip on Dense Networks Where Rivals Fall Apart
Spanish researchers have developed RRWK, a return random walk-based subgraph extraction method that preserves structural fidelity in dense graphs where ...
Eight Months of Meditation Eases Schizophrenia Symptoms, but Brain Wiring Tells a More Cautious Story
A randomized eight-month trial found meditation reduced positive and total symptoms in chronic schizophrenia more than active rehabilitation, while white ...
Different Chemotherapy Drugs Leave Different Fingerprints on the Brain’s Networks
A resting-state fMRI study of 97 cancer patients finds that fluorouracil-based and carboplatin-based chemotherapy regimens are associated with distinct alterations ...
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Mothers who receive childcare support from maternal grandparents show more parental warmth, finds NTU Singapore study
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University of Seville Breaks 120-Year-Old Mystery, Revises a Key Einstein Concept
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Bee body mass, pathogens and local climate influence heat tolerance
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Researchers record first-ever images and data of a shark experiencing a boat strike
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Groundbreaking Clinical Trial Reveals Lubiprostone Enhances Kidney Function
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