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22. A note on a geometric construction of large Cayley graps of given degree and diameterGyörgy Kiss, István Kovács, Klavdija Kutnar, János Ruff, Primož Šparl, 2009, izvirni znanstveni članek Opis: An infinite series and some sporadic examples of large Cayley graphs with given degree and diameter are constructed. The graphs arise from arcs, caps and other objects of finite projective spaces. Ključne besede: degree, diameter problem, Moore bound, finite projective spaces Objavljeno v RUP: 15.10.2013; Ogledov: 3407; Prenosov: 69 Povezava na celotno besedilo |
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25. Adjacency preservers, symmetric matrices, and coresMarko Orel, 2012, izvirni znanstveni članek Opis: It is shown that the graph ▫$\Gamma_n$▫ that has the set of all ▫$n \times n$▫ symmetric matrices over a finite field as the vertex set, with two matrices being adjacent if and only if the rank of their difference equals one, is a core if ▫$n \ge 3$▫. Eigenvalues of the graph ▫$\Gamma_n$▫ are calculated as well. Ključne besede: adjacency preserver, symmetric matrix, finite field, eigenvalue of a graph, coloring, quadratic form Objavljeno v RUP: 15.10.2013; Ogledov: 3216; Prenosov: 141 Povezava na celotno besedilo |
26. Coding theory and applications, solved exercises and problems of cyclic codesEnes Pašalić, 2013, drugo učno gradivo Ključne besede: finite field, counting cyclic codes, codeword, Hamming code, Ternary Golay code, BCH code, BCH decoding, Fire code, Erasure corrections, MDS code, convolutional code Objavljeno v RUP: 15.10.2013; Ogledov: 2987; Prenosov: 90 Povezava na celotno besedilo |
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