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7 009 (0,273s)

Result

Which distance-hereditary graphs are cover?incomparability graphs?

In this paper we deal with cover?incomparability graphs of posets, or briefly C?I graphs. These are graphs derived from posets as the edge-union of their cover graph and their incomparability graph. We ans...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

On graphs associated to posets, especially on cover-incomparability graphs

We deal with posets and graphs associated to them. There are several standard ways how to associate a graph to a poset. Depending on the edge-set we may obtain comparability graphs, incomparability graphs or cover ...

BA - Obecná matematika

  • 2013
  • D
Result

Note on enumeration of labeled split graphs

Main topics of the document: graph enumeration; labeled graph; split graph...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
Result

An Open Problem of Star-like Graph Enumeration

Main topics of the document: Labeled Graphs; Graph Enumeration; Star-like Graphs...

BA - Obecná matematika

  • 2012
  • D
Result

On cover-incomparability graphs

In this paper we deal with posets and graphs associated to them. We concentrate on so called cover-incomparability graphs. We prove that the C-I graph recognition problem is in general NP-complete. Then we present several c...

BA - Obecná matematika

  • 2014
  • D
  • Link
Result

On recognizing graphs by numbers of homomorphisms

Let hom (G, H) be the number of homomorphisms from a graph G to a graph H. A well-known result of Lovász states that the function hom (?, H) from all graphs uniquely determines the graph H up to isomorphism. We stu...

BA - Obecná matematika

  • 2010
  • Jx
Result

Geometric Biplane Graphs II: Graph Augmentation

We study biplane graphs drawn on a finite point set S in the plane in general position. This is the family of geometric graphs whose vertex set is S and which can be decomposed into two plane graphs. We show that every suff...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
Result

Reconfiguration graph for vertex colourings of weakly chordal graphs

We show that for each k>=3 there is a k-colourable weakly chordal graph G such that the reconfiguration graph R_k+1(G) is disconnected. We also introduce a subclass of k-colourable weakly chordal graphs and show that the...

Pure mathematics

  • 2019
  • Jimp
  • Link
Result

On the signed chromatic number of some classes of graphs

A signed graph (G, sigma) is a graph G along with a function sigma : E(G) -> {+, -}. A closed walk of a signed graph is positive (resp., negative) if it has an even (resp) signed graph to another signed grap...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2022
  • Jimp
  • Link
Result

Functional Querying in Graph Databases

The paper is focused on a functional querying in graph databases. We consider labelled property graph model and mention also the graph model behind XML databases. An attention is devoted to functional modelling of graph...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2018
  • Jost
  • Link
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