Results 71 to 80 of about 954,754 (291)
Completely Independent Spanning Trees in k-Th Power of Graphs
Discussiones Mathematicae Graph Theory, 2018 Let T1, T2, . . . , Tk be spanning trees of a graph G. For any two vertices u, v of G, if the paths from u to v in these k trees are pairwise openly disjoint, then we say that T1, T2, . . . , Tk are completely independent. Araki showed that the square of
Hong Xia
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Reliable Route Selection for Wireless Sensor Networks with Connection Failure Uncertainties
Sensors, 2021 For wireless sensor networks (WSN) with connection failure uncertainties, traditional minimum spanning trees are no longer a feasible option for selecting routes.
Jianhua Lyu +3 more
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Packing of rigid spanning subgraphs and spanning trees
Journal of Combinatorial Theory, Series B, 2014 We prove that every (6k + 2l, 2k)-connected simple graph contains k rigid and l connected edge-disjoint spanning subgraphs. This implies a theorem of Jackson and Jordán [4] and a theorem of Jordán [6] on packing of rigid spanning subgraphs. Both these results are generalizations of the classical result of Lovász and Yemini [9] saying that every 6 ...
Cheriyan, Joseph +2 more
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Coordinated Architectural and Chemical Reinforcement in the Crushing Mandible of a Soldier Termite
Advanced Functional Materials, EarlyView.The crushing mandible of a soldier termite withstands substantial biting loads despite lacking mineral. Its cuticle is partitioned: convex teeth pair hardness and zinc enrichment with aligned chitin fibers for contact durability, while stiffer concave regions between teeth carry bending loads.
Andrew Tran Nguyen +16 more
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Formulas for the Number of Spanning Trees in a Chain of Cycles
Sultan Qaboos University Journal for Science, 2010 We give a formula for the number of spanning trees in a chain of cycles that have connected intersection of one edge but where the cycles have variable sizes. The formula uses basic properties of continued fractions.
Thomas Bier
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Advanced Functional Materials, EarlyView.Melanin content directly controls fungal spore mechanical properties, with pigmented spores achieving rupture forces two orders of magnitude higher than hyaline spores. Environmental stress drives this quantity‐quality tradeoff; stressed species invest energy in melanin‐reinforced, mechanically superior thick‐walled, super‐hydrophobic spores, while ...
Atul Agrawal, Steven E. Naleway
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Spanning trees homeomorphic to a small tree
Discrete Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akira Saito, Kazuki Sano
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Architecture‐Driven Functional Coupling in Vertically Aligned Nanocomposites
Advanced Functional Materials, EarlyView.Vertically aligned nanocomposites define a growth‐engineered architecture in which vertical interfaces, strain fields, defect pathways, and phase connectivity are created simultaneously. This review shows how these architectural features couple ferroic, optical, ionic, electrochemical, and device responses, establishing design rules and open challenges
Md Shatil Islam‐Shanto +4 more
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Computing Well-Balanced Spanning Trees of Unweighted Networks
AlgorithmsA spanning tree of a network or graph is a subgraph that connects all nodes with the minimum number or total weight of edges. Spanning trees are among the simplest yet most effective techniques for network simplification, sampling, and uncovering a ...
Lovro Šubelj
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Biodegradable 3D‐Printable and Coatable Antifouling Composites for Marine Applications
Advanced Functional Materials, EarlyView.Marine biofouling damages submerged surfaces and raises greenhouse gas emissions. Biodegradable antifouling biocomposites were developed by hot‐mixing beeswax, Tween 80, and calcium stearate or stearic acid. Adjusting the component ratio enables processing via hot‐pressing, 3D‐printing, or dip‐coating.
Gabriele Corigliano +17 more
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