Some Topics of Special Interest in Graph Theory

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On leap Zagreb indices of some cycle related graphs

Let G = (V, E) represent a graph. The 2-degree of a vertex v in G is the number of vertices which are at distance two from v and denoted by d₂(v). The leap Zagreb indices are the recently introduced distance-based topological indices defined using 2-degrees of vertices in G. In this paper, we compute the leap Zagreb indices of some cycle related graphs, namely book graph, cycle with parallel chords, cycle with parallel Pk chords, shell graph and shell type graphs.Publisher's Versio

Discussion On Some Important Topics in Graph Theory

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Some Investigations in the Theory of Graphs

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Discussion on some interesting topics in Graph Theory

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Transcriptions, Paraphrases, and Arrangements: The Compositional Art of Moritz Moszkowski

Although more or less forgotten by most musicians, Moritz Moszkowski (1854–1925) was a celebrated composer, conductor, teacher, editor, and performer. This thesis seeks to draw a thorough biographical sketch of the composer as both a man and a musician and to provide a general description of his piano transcriptions, arrangements, and paraphrases, as well as a detailed analysis of three of his virtuosic piano transcriptions. An analysis of Moszkowski\u27s standing among his peers is also presented. His often under-appreciated achievements are documented in the musical journals of his day, including The Etude, The Musical Courier, The Musical Times, Musician, and The Musical Standard. In addition, an examination of Moszkowski\u27s more personal effects, such as his marriage certificate and an oral history from surviving descendants, is provided. His story begins with great promise and success, both as a pianist and composer, but ends sadly in poverty and illness. Chapter 1 presents an updated biography of Moszkowski, and Chapter 2 discusses the styles of nineteenth-century piano transcription. Chapters 3–6 offer detailed analysis of Moszkowski\u27s transcriptional technique in three of his virtuosic piano transcriptions based on Wagner and Bizet operas: Nachkomponierte Szene zur Oper Tannhauser, Isoldens Tod: Schluss-Szene aus Tristan and Isolde, and Chanson Boheme de l\u27Opera Carmen de Georges Bizet. These analyses reveal the idiosyncratic and typical facets of his transcriptional technique. Moszkowski\u27s strategic decisions about what to include or exclude, highlight or de-emphasize were balanced by a sense of musical proportion with a clear understanding of pianistic practicalities and limitations. Furthermore, Moszkowski\u27s deep respect for the composer whose work he is transcribing is shown by the great lengths to which he goes to disguise his own musical insertions. In order to compare and contrast differences in transcriptional style and place Moszkowski\u27s transcriptional oeuvre in perspective, comparable works by other composers such as Liszt, Busoni, Godowsky, von Bulow, and Tausig are also examined. Although Moszkowski\u27s transcriptions never reach the flamboyant heights of Liszt or Tausig, they do not belong in the realm of artless arrangements. Instead, his works demonstrate a sense of refinement and musical sophistication with a dose of panache

Department of Music Programs 2011 - 2012

Includes the music program flyers for the year 2011 - 2012.https://digitalcommons.olivet.edu/musi_prog/1045/thumbnail.jp