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In search of a poset structure to the regular exceptional graphs

Barbedo, Inês; Cardoso, Domingos M.; Rama, Paula

A (k,t)-regular set is a subset of the vertices of a graph, inducing a k -regular subgraph such that every vertex not in the subset has t neighbors in it. An exceptional graph is a connected graph with least eigenvalue greater than or equal to -2 which is not a generalized line graph, and it is shown that the set of regular exceptional graphs is partitioned in three layers. The idea of a recursive construction ...

Data: 2013   |   Origem: Biblioteca Digital do IPB

The poset structure of the regular exceptional graphs

Barbedo, Inês; Cardoso, Domingos M.; Rama, Paula

An exceptional graph is a connected graph with least eigenvalue greater than or equal to -2 which is not a generalized line graph. It is shown that the set of regular exceptional graphs is partitioned in three layers. A (k,t)-regular set is a subset of the vertices of a graph, inducing a k-regular subgraph such that every vertex not in the subset has t neighbors in it. A new recursive construction of regular ex...

Data: 2013   |   Origem: Biblioteca Digital do IPB

The construction of the poset of regular execeptional graphs using equitable pa...

Barbedo, Inês; Cardoso, Domingos M.; Rama, Paula

An exceptional graph is a connected graph with least eigenvalue greater than or equal to -2 which is not a generalized line graph. It is shown that the set of regular exceptional graphs is partitioned in three layers. A (k,t)-regular set is a subset of the vertices of a graph, inducing a k-regular subgraph such that every vertex not in the subset has t neighbors in it. A new recursive construction of regular ...

Data: 2013   |   Origem: Biblioteca Digital do IPB


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