On the edge‐toughness of a graph. II by Peng, Y.H., Tay, T.S.

“….: For any positive integers r, s satisfying r/2 < s ≤ r, there exists an infinite family of graphs such that for each graph G in the family, λ(G) = r (where λ(G) is the edge‐connectivity of G) T1(G) = s, and G can be factored into s spanning trees.…”

Threshold for Steiner triple systems by Sah, Ashwin, Sawhney, Mehtaab, Simkin, Michael

“…Abstract We prove that with high probability $$\mathbb {G}^{(3)}(n,n^{-1+o(1)})$$ G ( 3 ) ( n , n - 1 + o ( 1 ) ) contains a spanning Steiner triple system for $$n\equiv 1,3\pmod {6}$$ n ≡ 1 , 3 ( mod 6 ) , establishing the exponent for the threshold probability for existence of a Steiner triple system. …”
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The many faces of natural theology: diverse projects, distinct roles, and the pursuit of clarity by Baker-Hytch, MRO, Mallary, M

“…The term ‘natural theology’ provokes a variety of reactions, spanning from whole-hearted endorsement to passionate rejection. …”

Planetary Imaging Concept Testbed Using a Recoverable Experiment-Coronagraph (PICTURE C) by Cook, T., Cahoy, K., Chakrabarti, S., Douglas, E., Finn, S. C., Kuchner, M., Lewis, N., Marinan, A., Martel, J., Mawet, D., Mazin, B., Meeker, S. R., Mendillo, C., Serabyn, G., Stuchlik, D., Swain, M.

“…The mission described here is capable of spectrally imaging debris disks and exozodiacal light around a number of stars spanning a range of infrared excesses, stellar types, and ages. …”
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Linguistic distance and market integration in India by Fenske, J, Kala, N

“…Using prices from more than 200 South Asian markets spanning 1861 to 1921, we show that linguistic distance correlates negatively with market integration. …”

DNA computation by Wang, Qi Wen.

“…The project aims to develop 4 different types of DNA computational algorithms corresponding to 4 different types of graphical combinatorial problems based on the latest research – shortest path problem with equivalent and inequivalent edge length, shortest spanning tree and assignment problem. Each developed DNA computational algorithm comes along with independent analysis section which explains the working principle lying behind the developed algorithm. …”
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AGV scheduling and routing for automated container terminals by Xu, Yan

“…The problem is solved by: (1) dynamic path planning algorithm using a space-time spanning tree, and (2) scheduler using sliding window. …”
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Tropical forest clearance impacts biodiversity and function whereas logging changes structure by Marsh, C, Turner, EG, Blonder, BW, Hemprich-Bennett, D, Riutta, T, Slade, EM, Lewis, O, Hector, A

“…We present an extensive ecosystem analysis of the impacts of logging and conversion of tropical forest to oil palm from a large-scale study in Borneo, synthesizing responses from 82 variables categorized into four ecological levels spanning a broad suite of ecosystem properties: (i) structure and environment, (ii) species traits, (iii) biodiversity, and (iv) ecosystem functions. …”

Quantitative CLTs on the Poisson space via Skorohod estimates and p-Poincaré inequalities by Trauthwein, T

“…We also apply our techniques to derive quantitative CLTs for edge functionals of the Gilbert graph, of the k-Nearest Neighbour graph and of the Radial Spanning Tree. In most cases, even the qualitative CLTs are new.…”

Mean square consensus of multi-agent systems over fading networks with directed graphs by Xu, Liang, Zheng, Jianying, Xiao, Niao, Xie, Lihua

“…It is then shown that the mean square consensusability is solely determined by the edge state dynamics on a directed spanning tree. As a result, sufficient conditions are provided for mean square consensus over fading networks with directed graphs in terms of fading parameters, the network topology and the agent dynamics. …”
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Development and characterization of a microneedle-based sensor by Chan, Kenzo Zheng Long

“…With the improved functionality, this study represents a significant step forward in wearable sensor technology for personalized healthcare monitoring, with potential applications spanning medical diagnostics, drug monitoring, and public health surveillance.…”
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Emotikon : audio production of the interpretation of human emotion through soundscape and music by De Cotta, Timothy Alexander, Long, Lyndsey Liting

“…We wanted to appeal to the various feelings of the listener in five songs that spanned a range of musical genres, and more ambitiously, try to manipulate how the listener was feeling in a short period of time.…”
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The Viking Great Army north of the Tyne: A Viking camp in Northumberland? by Kershaw, J, Jarman, C, Weber, H, Horton, M

“…We argue that the site was strategically situated and long-lived, with evidence for occupation spanning the Roman to later medieval periods. We note, in particular, indications of high-status early medieval activity, which stand out in a Northumbrian context. …”

On the higher-order edge toughness of a graph by Chen, C.C., Koh, K.M., Peng, Y.H.

“…Besides giving the of the cth-order edge toughness τc(G) of a graph G, we prove that 'τc(G)≥k if and only if G has k edge-disjoint spanning forests with exactly c components'. We also study the 'balancity' of a graph G of order p and size q, which is defined as the smallest positive integer c such that τc(G) = p/(p-c). © 1993.…”
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Coda. by Zurianah Hashim.

“…The marriage between text and image has been used often in artworks spanning across different media platforms, channelled through various techniques for a multitude of purposes. …”
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A Fifty Million Dollar Piece of Dirt: Somerville as a Case Study in Development by Aizman, Asya

“…This is a case study of twenty years in Somerville real estate development, spanning 2004 to 2024. Through interviews with residents, activists, and senior city officials, I present a story of a city attempting to rectify its progressive values with the forces of neoliberalism, which it seems unable—and unwilling—to stop.…”
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A function-based mapping of sensory integration along the cortical hierarchy by Wei, W, Benn, RA, Scholz, R, Shevchenko, V, Klatzmann, U, Alberti, F, Chiou, R, Wassermann, D, Vanderwal, T, Smallwood, J, Margulies, DS

“…Sensory information mainly travels along a hierarchy spanning unimodal to transmodal regions, forming multisensory integrative representations crucial for higher-order cognitive functions. …”

The use of mobile phones among trishaw operators in Myanmar by Ling, Rich, Aricat, Rajiv George, Oreglia, Elisa, Panchapakesan, Chitra, Lwin, May Oo

“…Trishaw operators transport people and goods in a physically demanding job that often earns them as little as US$2 per day. Spanning the period before and after the widespread commercialization of mobile phones in the country, this research draws from interviews with trishaw operators in several locations. …”
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Corporate governance as a catalyst for sustainability: insights from Malaysian Public listed companies by Normarliana Laili, Romlah Jaffar, Mohamat Sabri Hassan, Ahmad Monir Abdullah

“…The study sample comprised 762 listed companies in Malaysia, spanning 2020 to 2022. Using content analysis on company annual reports, the results established the positive and significant influence of CG on CSP as consistent with the stakeholder theory. …”
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Reverse logistic operations in Asia-Pacific : an emprical study by Ho, Alex Chew Kin.

“…A 12-page survey is launched covering three main sections — Part 1: Company Profile; Part 2: Reverse Logistics Process; and Part 3: Reverse Logistics Information System. 145 companies were surveyed with a 15.7% response rate. Companies selected spanned across different industrial sectors: electronic/semi-conductor, consumer electronics, telecommunications, computer, data storage/disk drive, machinery/heavy metal, chemical and medical equipment supplies. …”
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