Edge Stable Sets and Secured Edge Stable Sets in Hypergraphs

Thakkar, D. K.; Dave, V. R.

doi:10.5815/ijmsc.2019.02.6

Cited by 1 publication

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“…We will also mention some modern works concerning aspects of neuro-nets with the use of the random graph models and biosimilar structures [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. The latest technology and a conceptual approach to building neuron nets have resulted in network structures that capture the basic properties of cortical organization [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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Hypothesis of Cyclic Structures of Pre- and Consciousness as a Transition in Neuron-like Graphs to a Special Type of Symmetry

Аристов

Stepanyan

2022

Symmetry

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We study the proposed statistical kinetic model for describing the pre- and consciousness structures based on the cognitive neural networks. The method of statistics of the growth graph systems and a possible transition to symmetric structures (a kind of phase transition) is applied. With the complication of a random Erdőos-Rényi (ER) graph during the percolation transition from the tree structure to the large cluster structures is obtained. In the evolutionary model two classes of algorithms have been developed. The differences between the cycle parameters in the obtained neural network models can reach thousands or more times. This is due to the tree-like architecture of the neural graph, which mimics the columnar structures of the neocortex. These cluster and cyclic structures can be interpreted as the primary elements of consciousness and as a necessary condition for the effect of consciousness itself. The comparison with other known theoretical mainly statistical models of consciousness is discussed. The presented results are promising in neurocomputer interfaces, man-machine systems and artificial intelligence systems.

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Section: Introductionmentioning

confidence: 99%

“…The developed paths were categorized on supplied parameters like the biggest and smallest pathways. The researchers of [20] demonstrated results in hypergraphs, and introduced the concepts of protected edge stable subsets. The article describes a network transfer function model called resource network in [21].…”

Section: Introductionmentioning

confidence: 99%

Hypothesis of Cyclic Structures of Pre- and Consciousness as a Transition in Neuron-like Graphs to a Special Type of Symmetry

Аристов

Stepanyan

2022

Symmetry

View full text Add to dashboard Cite

show abstract

Edge Stable Sets and Secured Edge Stable Sets in Hypergraphs

Cited by 1 publication

References 0 publications

Hypothesis of Cyclic Structures of Pre- and Consciousness as a Transition in Neuron-like Graphs to a Special Type of Symmetry

Hypothesis of Cyclic Structures of Pre- and Consciousness as a Transition in Neuron-like Graphs to a Special Type of Symmetry

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