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Strongly Regular Graphs

open access: yes, 2017
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
openaire   +2 more sources

Strongly Regular Graphs

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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Strongly regular vertices and partially strongly regular graphs.

Ars Comb., 2004
Summary: 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

1984
The 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, 2023
Alexander L Gavrilyuk, V V Kabanov
exaly  

Exponential Inequalities over the Parameters of a Strongly Regular Graph

Lecture Notes in Mechanical Engineering, 2022
Luis Antonio De Almeida Vieira   +1 more
exaly  

There is no (95, 40, 12, 20) strongly regular graph

Journal of Combinatorial Designs, 2020
Jernej Azarija, Tilen Marc
exaly  

A walk-regular graph, cospectral to its complement, need not be strongly regular

Discrete Mathematics, 2023
Sanja Stevanovic, Dragan Stevanovic
exaly  

Power Series and Inequalities on the Parameters of a Strongly Regular Graph

Lecture Notes in Mechanical Engineering, 2023
Luis Antonio De Almeida Vieira   +1 more
exaly  

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