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29 907 (0,152s)

Result

Characterization of essential graphs by means of the operation of legal merging of components

networks is the use of essential graphs.In the paper their characterization is presented. The main observation is that every essential graph is the largest chain graph withina special class of chain graphs

BA - Obecná matematika

  • 2004
  • Jx
Result

Characterization of essential graphs by means of an operation of legal component merging.

The essential graph is known as a representative of an equivalence class of Bayesian networks. In the contribution an alternative characterization of essential graphs is presented. The characterization is based on ...

BA - Obecná matematika

  • 2002
  • D
Result

The hamiltonicity of essentially 9-connected line graphs

Yang et al proved that every 3‐connected, essentially 11‐connected line graph is Hamilton‐connected. This was extended by Li and Yang to 3‐connected, essentially 10‐connected line graphs. Strengthening their result...

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

A reconstruction algorithm for the essential graph

A standard graphical representative of a Bayesian network structure is a special chain graphs, known as an essential graph. An alternative algebraic approach the essential graph on the basis of the standar...

BA - Obecná matematika

  • 2009
  • Jx
  • Link
Result

Connected even factors in the square of essentially 2-edge-connected graph

An essentially k-edge connected graph G is a connected graph such that deleting we prove that if an essentially 2-edge-connected graph G satisfies that for any degree at most 4. Moreover we show that, in g...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

Characterization of inclusion neighbourhood in terms of the essential graph: Lower neighbours.

The topic of the paper is to characterize inclusion neighbourhood of a given equivalence class of Bayesian networks in terms of the respective essential graph tufts. The least and maximal sets of these tufts can be read from the

BA - Obecná matematika

  • 2003
  • D
Result

Characterization of inclusion neighbourhood in terms of the essential graph

of the respective standard representative of the equivalence class, which is named the essential graph.

BA - Obecná matematika

  • 2005
  • Jx
Result

Characterization of inclusion neighbourhood in terms of the essential graph: upper neighbours.

Neighbouring equivalence classes in the sense of inclusion neighbourhood are characterized efficiently in terms of the respective essential graph. The given characterization reveals hidden internal structure of the inclusion neighbo...

BA - Obecná matematika

  • 2003
  • D
Result

Transition between graphical and algebraic representatives of Bayesian network models

In learning Bayesian networks one meets the problem of unique representing of the respective statistical model. A graphical approach uses so-called essential graph as a represententative while an algebraic approach uses a certain in...

BA - Obecná matematika

  • 2004
  • D
Result

Homomorphisms of Signed Graphs

The paper studies a new concept of homomorphisms on signed graphs. It establishes essential results and states several conjectures and open problems....

BA - Obecná matematika

  • 2015
  • Jx
  • Link
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