1,724,039 research outputs found

    Graphs with Lin-Lu-Yau curvature at least one and regular bone-idle graphs

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    We study the Ollivier-Ricci curvature and its modification introduced by Lin, Lu, and Yau on graphs. We provide a complete characterization of all graphs with Lin-Lu-Yau curvature at least one. We then explore the relationship between the Lin-Lu-Yau curvature and the Ollivier-Ricci curvature with vanishing idleness on regular graphs. An exact formula for the difference between these two curvature notions is established, along with an equality condition. This condition allows us to characterize edges that are bone-idle in regular graphs. Furthermore, we demonstrate the non-existence of 3-regular bone-idle graphs and present a complete characterization of all 4-regular bone-idle graphs. We also show that there exist no 5-regular bone-idle graphs that are symmetric or a Cartesian product of a 3-regular and a 2-regular graph.23 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:2407.0885

    Outerplanar graphs with positive Lin–Lu–Yau curvature

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    In this paper, we show that all simple outerplanar graphs G with minimum degree at least 2 and positive Lin–Lu–Yau Ricci curvature on every edge have maximum degree at most 9. Furthermore, if G is maximally outerplanar, then G has at most 10 vertices. Both upper bounds are sharp.</p

    Outerplanar graphs with positive Lin-Lu-Yau curvature

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    In this paper, we show that all simple outerplanar graphs GG with minimum degree at least 22 and positive Lin-Lu-Yau Ricci curvature on every edge have maximum degree at most 99. Furthermore, if GG is maximally outerplanar, then GG has at most 1010 vertices. Both upper bounds are sharp.Comment: 10 page

    On the size of outerplanar graphs with positive Lin-Lu-Yau Ricci curvature

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    In this paper, extending a result of Brooks et.al. [arXiv:2403.04110], we show that if an outerplanar graph GG with minimum degree at least 22 has positive Lin-Lu-Yau curvature on every vertex pair, then GG has at most 1010 vertices, and this upper bound is sharp.17 page

    Review of the Leafhopper Genus Macrosteles Fieber (Hemiptera: Cicadellidae: Deltocephalinae) from China

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    Yalin, Zhang, Lin, Lu, Kwon, Yong Jung (2013): Review of the Leafhopper Genus Macrosteles Fieber (Hemiptera: Cicadellidae: Deltocephalinae) from China. Zootaxa 3700 (3): 361-392, DOI: 10.11646/zootaxa.3700.3.

    Bounding the diameter and eigenvalues of amply regular graphs via Lin-Lu-Yau curvature

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    An amply regular graph is a regular graph such that any two adjacent vertices have α\alpha common neighbors and any two vertices with distance 22 have β\beta common neighbors. We prove a sharp lower bound estimate for the Lin--Lu--Yau curvature of any amply regular graph with girth 33 and β>α\beta>\alpha. The proof involves new ideas relating discrete Ricci curvature with local matching properties: This includes a novel construction of a regular bipartite graph from the local structure and related distance estimates. As a consequence, we obtain sharp diameter and eigenvalue bounds for amply regular graphs.Comment: 12 pages, 3 figures, final version that will appear in Combinatoric

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    Il fine vita del legno lamellare. Un confronto tra ricerca e pratica industriale

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    L'articolo propone di esplorare in modo approfondito il tema del fine vita del legno lamellare, fornendo una panoramica sullo stato attuale della ricerca e sulle pratiche industriali esistenti. Attraverso una revisione critica della letteratura scientifica disponibile e un’analisi dettagliata delle Dichiarazioni Ambientali di Prodotto (EPD) relative ai prodotti in legno lamellare commercializzati in Europa, lo studio mira a fornire spunti e raccomandazioni per la corretta contabilizzazione dei flussi dell’anidride carbonica durante la vita del legno lamellare, con un focus specifico sul fine vita
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