Some properties of the Hoffman-Singleton graph
نویسندگان
چکیده
منابع مشابه
The Hoffman-Singleton Graph and its Automorphisms
We describe the Hoffman-Singleton graph geometrically, showing that it is closely related to the incidence graph of the affine plane over Z5. This allows us to construct all automorphisms of the graph.
متن کاملA construction of the McLaughlin graph from the Hoffman-Singleton graph
In this paper, we give a new construction of the McLaughlin graph from the Hoffman-Singleton graph.
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولOn the Graphs of Hoffman-Singleton and Higman-Sims
We propose a new elementary definition of the Higman-Sims graph in which the 100 vertices are parametrised with Z4 × Z5 × Z5 and adjacencies are described by linear and quadratic equations. This definition extends Robertson’s pentagonpentagram definition of the Hoffman-Singleton graph and is obtained by studying maximum cocliques of the Hoffman-Singleton graph in Robertson’s parametrisation. Th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2007
ISSN: 1452-8630
DOI: 10.2298/aadm0702438r