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圖的全星數 / The total star number of graphs

無 / A multiple-star representation of a simple graph G assigns each vertex a union of stars in a host tree, such that vertices are adjacent if and only if their assigned sets intersect. The total star number S(G) is the minimum of the total number of stars used in any such representation of G. We obtain the maximum value of S(G) for m-edge connected graphs: m + 1, n-vertex graphs: [n<sup>2</sup> + 1)/ 4], and n-vertex outer-planar graphs: [3n /2-l]

Identiferoai:union.ndltd.org:CHENGCHI/B2002002524
Creators呂吉祥
Publisher國立政治大學
Source SetsNational Chengchi University Libraries
Language英文
Detected LanguageEnglish
Typetext
RightsCopyright &copy; nccu library on behalf of the copyright holders

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