# On the simplex graph operator

Discussiones Mathematicae Graph Theory (1998)

- Volume: 18, Issue: 2, page 165-169
- ISSN: 2083-5892

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topBohdan Zelinka. "On the simplex graph operator." Discussiones Mathematicae Graph Theory 18.2 (1998): 165-169. <http://eudml.org/doc/270190>.

@article{BohdanZelinka1998,

abstract = {A simplex of a graph G is a subgraph of G which is a complete graph. The simplex graph Simp(G) of G is the graph whose vertex set is the set of all simplices of G and in which two vertices are adjacent if and only if they have a non-empty intersection. The simplex graph operator is the operator which to every graph G assigns its simplex graph Simp(G). The paper studies graphs which are fixed in this operator and gives a partial answer to a problem suggested by E. Prisner.},

author = {Bohdan Zelinka},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {simplex of a graph; simplex operator; limit cardinal number; clique; simplex graph; infinite graph},

language = {eng},

number = {2},

pages = {165-169},

title = {On the simplex graph operator},

url = {http://eudml.org/doc/270190},

volume = {18},

year = {1998},

}

TY - JOUR

AU - Bohdan Zelinka

TI - On the simplex graph operator

JO - Discussiones Mathematicae Graph Theory

PY - 1998

VL - 18

IS - 2

SP - 165

EP - 169

AB - A simplex of a graph G is a subgraph of G which is a complete graph. The simplex graph Simp(G) of G is the graph whose vertex set is the set of all simplices of G and in which two vertices are adjacent if and only if they have a non-empty intersection. The simplex graph operator is the operator which to every graph G assigns its simplex graph Simp(G). The paper studies graphs which are fixed in this operator and gives a partial answer to a problem suggested by E. Prisner.

LA - eng

KW - simplex of a graph; simplex operator; limit cardinal number; clique; simplex graph; infinite graph

UR - http://eudml.org/doc/270190

ER -

## References

top- [1] E. Prisner, Graph dynamics, Longman House, Burnt Mill, Harlow, Essex 1995.

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