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A Comparative Study of Exponential Sum-Connectivity and Product-Connectivity Gourava Indices for Benzenoid Hydrocarbons

arXiv:2606.05989v1 Announce Type: new Abstract: In this work, the exponential sum-connectivity Gourava index ($e^{SGO(G)}$) and the exponential product-connectivity Gourava index ($e^{PGO(G)}$) are computed and comparatively analyzed for benzenoid hydrocarbons. Our results demonstrate that these descriptors exhibit a strong mutual correlation and provide enhanced sensitivity in modeling the structural characteristics of molecular graphs. Regression analysis reveals that both indices are...

arXiv Physics 5d ago

A Comparative Study of Exponential Sum-Connectivity and Product-Connectivity Gourava Indices for Benzenoid Hydrocarbons

Announce Type: replace Abstract: In this work, the exponential sum-connectivity Gourava index ($e^{SGO(G)}$) and the exponential product-connectivity Gourava index ($e^{PGO(G)}$) are computed and comparatively analyzed for benzenoid hydrocarbons. Our results demonstrate that these descriptors exhibit a strong mutual correlation and provide enhanced sensitivity in modeling the structural characteristics of molecular graphs. Regression analysis reveals that both indices are exceptionally...

arXiv Physics 1d ago

Security Analysis of LTE Connectivity in Connected Cars: A Case Study of Tesla

arXiv:2510.22024v2 Announce Type: replace Abstract: Modern connected vehicles rely on persistent LTE connectivity to enable remote diagnostics, over-the-air (OTA) updates, and safety-relevant services. While mobile network vulnerabilities are well documented in the smartphone ecosystem, their impact in safety-relevant automotive settings remains insufficiently examined. We conduct a black-box case study of LTE security in Tesla's Model 3 and Cybertruck, revealing systemic protocol weaknesses...

arXiv CS 1d ago

Learn When and Where to Connect: Adaptive Virtual Nodes for Dynamic Message Passing on Graphs

arXiv:2606.03068v1 Announce Type: new Abstract: While Virtual Nodes (VNs) are often utilized in Message Passing Neural Networks (MPNNs) to facilitate effective message passing, existing VN-based methods have limitations, such as constraining all nodes to connect to the same number of VNs, fixing the connections before applying MPNNs, and connecting a node to a VN independently of the other nodes that connect to the same VN. We propose MAVN, an end-to-end differentiable MPNN framework that...

arXiv CS 7d ago

Four intuitionistic modal connectives

arXiv:2606.07348v1 Announce Type: new Abstract: We introduce the syntax and the semantics of intuitionistic modal logics based on a diamond connective \`a la Prenosil, its dual box connective, a diamond connective \`a la Wijesekera and its dual box connective. We analyze the modal definability of some elementary classes of frames. We study the complete axiomatizability of the sets of valid formulas determined by these classes of frames.

arXiv CS 2d ago

Identifying Connectivity Distributions from Neural Dynamics Using Flows

arXiv:2603.26506v2 Announce Type: replace-cross Abstract: Connectivity structure shapes neural computation, but inferring this structure from population recordings is degenerate: multiple connectivity structures can generate identical dynamics. Recent work uses low-rank recurrent neural networks (lrRNNs) to infer low-dimensional latent dynamics and connectivity from observed activity, enabling a mechanistic interpretation of the dynamics. However, standard approaches for training lrRNNs can...

arXiv CS 9d ago

'Super-connected' teenagers key to tackling violent crime, study suggests

'Super-connected' teenagers key to tackling violent crime, study suggests Lisa Lock Scientific Editor Andrew Zinin Lead Editor Young people with the most connections to other suspected offenders of any age are almost five times more likely to carry knives than the average youth suspect, according to a new analysis of more than 200,000 U.K. police records. This top 5% of "super-connected" children aged 10–18 are almost three times more likely to commit violent crime, seven times more likely...

Phys.org 22h ago

Counterintuitive Magnetic Connectivity and Energetic Particle Flux Differences among Nearby Spacecraft During the 2023 February 24 Solar Energetic Particle Event

arXiv:2606.02445v1 Announce Type: new Abstract: For solar energetic particles (SEPs), it is generally expected that observers magnetically closer to the eruption source region exhibit higher particle intensities than those poorly connected to the eruption site. However, the 2023 February 24 SEP event departs from this simple picture: Earth and STA, near 1 au, are nominally better connected to the source region, whereas Solar Orbiter (SolO), at 0.77 au but less favorably connected, observed...

arXiv Physics 8d ago

Sacked Slot says his connection with Liverpool 'goes beyond football' in farewell letter

Arne Slot: Sacked former Liverpool boss says his connection with cub 'goes beyond football' in farewell letter Former Liverpool boss Arne Slot: "The connection we share goes beyond football, beyond European nights under the Anfield lights or the sound of You'll Never Walk Alone being sung from The Kop. You made me feel welcome from the start and helped me on the path. That is something I cherish" Monday 1 June 2026 09:10, UK Arne Slot has said the connection he shares with Liverpool and the...

Sky Sports Football 9d ago

Connectivity Logic of Dendritic Spines in Cortex: Increased Inputs and Ensemble Formation

Dendritic spines, small protrusions covering the dendrites of most neurons, are fundamental elements of synaptic connectivity, yet their network-level organization remains poorly understood. Here we leverage the large-scale MICrONS volumetric electron microscopy dataset of mouse primary visual cortex to explore the connectivity logic of dendritic spines across multiple spatial scales. Our analysis provides structural support for the ``connectivity and diversity'' hypothesis, showing that,...

bioRxiv 1d ago