Skeletons in multigraphs
Commentationes Mathematicae Universitatis Carolinae (1993)
- Volume: 34, Issue: 4, page 689-696
- ISSN: 0010-2628
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topHavel, Václav, and Klouda, Josef. "Skeletons in multigraphs." Commentationes Mathematicae Universitatis Carolinae 34.4 (1993): 689-696. <http://eudml.org/doc/247490>.
@article{Havel1993,
abstract = {Under a multigraph it is meant in this paper a general incidence structure with finitely many points and blocks such that there are at least two blocks through any point and also at least two points on any block. Using submultigraphs with saturated points there are defined generating point sets, point bases and point skeletons. The main result is that the complement to any basis (skeleton) is a skeleton (basis).},
author = {Havel, Václav, Klouda, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {multigraph; submultigraph with saturated vertices; generating vertex set; vertex basis; skeleton; multigraph; skeleton; vertex set; basis; generating set; saturated vertices},
language = {eng},
number = {4},
pages = {689-696},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Skeletons in multigraphs},
url = {http://eudml.org/doc/247490},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Havel, Václav
AU - Klouda, Josef
TI - Skeletons in multigraphs
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 4
SP - 689
EP - 696
AB - Under a multigraph it is meant in this paper a general incidence structure with finitely many points and blocks such that there are at least two blocks through any point and also at least two points on any block. Using submultigraphs with saturated points there are defined generating point sets, point bases and point skeletons. The main result is that the complement to any basis (skeleton) is a skeleton (basis).
LA - eng
KW - multigraph; submultigraph with saturated vertices; generating vertex set; vertex basis; skeleton; multigraph; skeleton; vertex set; basis; generating set; saturated vertices
UR - http://eudml.org/doc/247490
ER -
References
top- Dembowski P., Finite Geometries, Heidelberg, New York, 1968. Zbl0865.51004MR0233275
- Krapež A., Taylor M.A., Bases of web configurations, Publ de l'Inst. Math., nouvelle série 38 (52) (1985), 21-30. (1985) MR0837378
- Belousov V.D., Configurations in Algebraic Nets (in Russian), Kishinev, 1979. MR0544665
- Havel V., Regulated bildups of -configurations, Archivum Mathematicum, 1993, to appear. MR1282109
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