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Tema diplomskog rada su jako regularni grafovi. Kako bismo bolje razumijeli sve pojmove diplomski rad podijeljen je na dva dijela. U prvom dijelu koji nam je potreban za lakim razumijevanjem jako regularnih grafova prvo se upoznajemo s teorijom grafova ...
Lukić, Petra
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2011
A graph (simple, undirected, and loopless) of order v is called strongly regular with parameters v, k,λ,μ whenever it is not complete or edgeless.
Andries E. Brouwer, Willem H. Haemers
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A graph (simple, undirected, and loopless) of order v is called strongly regular with parameters v, k,λ,μ whenever it is not complete or edgeless.
Andries E. Brouwer, Willem H. Haemers
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Strongly regular vertices and partially strongly regular graphs.
Ars Comb., 2004Summary: A strongly regular vertex with parameters \((\lambda,\mu)\) in a graph is a vertex \(x\) such that the number of neighbors any other vertex \(y\) has in common with \(x\) is \(\lambda\) if \(y\) is adjacent to \(x\), and is \(\mu\) if \(y\) is not adjacent to \(x\).
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On the (99,14,1,2) strongly regular graph
1984The existence of a strongly regular graph with parameters as in the title is still in doubt. It is proved that there is no such graph with an automorphism of order 11, and the only primes which could divide the order of the automorphism group of such a graph are 2, 3, 5 and 7.
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Strongly regular graphs decomposable into a divisible design graph and a Hoffman coclique
Designs, Codes, and Cryptography, 2023Alexander L Gavrilyuk, V V Kabanov
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Exponential Inequalities over the Parameters of a Strongly Regular Graph
Lecture Notes in Mechanical Engineering, 2022Luis Antonio De Almeida Vieira +1 more
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There is no (95, 40, 12, 20) strongly regular graph
Journal of Combinatorial Designs, 2020Jernej Azarija, Tilen Marc
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A walk-regular graph, cospectral to its complement, need not be strongly regular
Discrete Mathematics, 2023Sanja Stevanovic, Dragan Stevanovic
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Power Series and Inequalities on the Parameters of a Strongly Regular Graph
Lecture Notes in Mechanical Engineering, 2023Luis Antonio De Almeida Vieira +1 more
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