# A note on intersection dimensions of graph classes

Commentationes Mathematicae Universitatis Carolinae (1995)

- Volume: 36, Issue: 2, page 255-261
- ISSN: 0010-2628

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topHliněný, Petr, and Kuběna, Aleš. "A note on intersection dimensions of graph classes." Commentationes Mathematicae Universitatis Carolinae 36.2 (1995): 255-261. <http://eudml.org/doc/247769>.

@article{Hliněný1995,

abstract = {The intersection dimension of a graph $G$ with respect to a class $\mathcal \{A\}$ of graphs is the minimum $k$ such that $G$ is the intersection of some $k$ graphs on the vertex set $V(G)$ belonging to $\mathcal \{A\}$. In this paper we follow [ Kratochv’ıl J., Tuza Z.: Intersection dimensions of graph classes, Graphs and Combinatorics 10 (1994), 159–168 ] and show that for some pairs of graph classes $\mathcal \{A\}$, $\mathcal \{B\}$ the intersection dimension of graphs from $\mathcal \{B\}$ with respect to $\mathcal \{A\}$ is unbounded.},

author = {Hliněný, Petr, Kuběna, Aleš},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {intersection graph; intersection dimension; intersection graph; graph classes; intersection dimension},

language = {eng},

number = {2},

pages = {255-261},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A note on intersection dimensions of graph classes},

url = {http://eudml.org/doc/247769},

volume = {36},

year = {1995},

}

TY - JOUR

AU - Hliněný, Petr

AU - Kuběna, Aleš

TI - A note on intersection dimensions of graph classes

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1995

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 36

IS - 2

SP - 255

EP - 261

AB - The intersection dimension of a graph $G$ with respect to a class $\mathcal {A}$ of graphs is the minimum $k$ such that $G$ is the intersection of some $k$ graphs on the vertex set $V(G)$ belonging to $\mathcal {A}$. In this paper we follow [ Kratochv’ıl J., Tuza Z.: Intersection dimensions of graph classes, Graphs and Combinatorics 10 (1994), 159–168 ] and show that for some pairs of graph classes $\mathcal {A}$, $\mathcal {B}$ the intersection dimension of graphs from $\mathcal {B}$ with respect to $\mathcal {A}$ is unbounded.

LA - eng

KW - intersection graph; intersection dimension; intersection graph; graph classes; intersection dimension

UR - http://eudml.org/doc/247769

ER -

## References

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- Kratochvíl J., Tuza Z., Intersection dimensions of graph classes, Graphs and Combinatorics 10 (1994), 159-168. (1994) MR1289974

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