پديد آورنده :
حيدري، عباس
عنوان :
درباره ي انديس هاي توپولوژيك گراف لوله هاي نانو و حاصل ضرب ريشه اي گراف ها
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
[هشت]، 114، [II] ص.: مصور، جدول، نمودار
يادداشت :
ص.ع. به فارسي و انگليسي
استاد راهنما :
بيژن طائري
استاد مشاور :
عليرضا اشرفي
تاريخ نمايه سازي :
14/12/87
استاد داور :
محمدرضا درفشه، علي ايرانمنش، بهناز عمومي، غلامرضا اميدي
كد ايرانداك :
ID213 دكتري
چكيده فارسي :
به فارسي و انگليسي: قابل رؤيت در نسخه ديجيتال
چكيده انگليسي :
Abstract Let G be a connected undirected graph A topological index of G is a numerical descriptor of G whichis invariant under isomorphism of graphs Usually topological indices describe structural propertiesof molecular graphs In this thesis at rst we compute the famous topological indices of T U C 4 C8 R and T U C4 C8 S nanotubes We compute the Wiener Hyper Wiener Schultz and Szeged indices ofthose nanotubes We stady rooted product of graphs where induced by Godsil and mckay in 1978 LetG G1 G2 Gn be a sequence of rooted graphs and H be a labeled graph on n vertices Therooted product H G of H by G obtained by identifying the root vertices of G i for i 1 2 n Wecompute Wiener index and characteristic polynomial of adjacency and Laplacian matrices of H G As application of our method we compute Wiener index and characteristic polynomial of adjacencyand Laplacian matrices of some graphs which represented in term of rooted product of simple graphs Afterward we compute the characteristic polynomial of adjacency matrix of line graph of rooted trees Also we compute Wiener index and the characteristic polynomial of adjacency and Laplacian matrixof generalized bethe trees
استاد راهنما :
بيژن طائري
استاد مشاور :
عليرضا اشرفي
استاد داور :
محمدرضا درفشه، علي ايرانمنش، بهناز عمومي، غلامرضا اميدي
