# Cardinality of height function’s range in case of maximally many rectangular islands - computed by cuts

Eszter Horváth; Branimir Šešelja; Andreja Tepavčević

Open Mathematics (2013)

- Volume: 11, Issue: 2, page 296-307
- ISSN: 2391-5455

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topEszter Horváth, Branimir Šešelja, and Andreja Tepavčević. "Cardinality of height function’s range in case of maximally many rectangular islands - computed by cuts." Open Mathematics 11.2 (2013): 296-307. <http://eudml.org/doc/269807>.

@article{EszterHorváth2013,

abstract = {We deal with rectangular m×n boards of square cells, using the cut technics of the height function. We investigate combinatorial properties of this function, and in particular we give lower and upper bounds for the number of essentially different cuts. This number turns out to be the cardinality of the height function’s range, in case the height function has maximally many rectangular islands.},

author = {Eszter Horváth, Branimir Šešelja, Andreja Tepavčević},

journal = {Open Mathematics},

keywords = {Rectangular islands; Height function; Cut relations; rectangular islands; height function; cut relations},

language = {eng},

number = {2},

pages = {296-307},

title = {Cardinality of height function’s range in case of maximally many rectangular islands - computed by cuts},

url = {http://eudml.org/doc/269807},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Eszter Horváth

AU - Branimir Šešelja

AU - Andreja Tepavčević

TI - Cardinality of height function’s range in case of maximally many rectangular islands - computed by cuts

JO - Open Mathematics

PY - 2013

VL - 11

IS - 2

SP - 296

EP - 307

AB - We deal with rectangular m×n boards of square cells, using the cut technics of the height function. We investigate combinatorial properties of this function, and in particular we give lower and upper bounds for the number of essentially different cuts. This number turns out to be the cardinality of the height function’s range, in case the height function has maximally many rectangular islands.

LA - eng

KW - Rectangular islands; Height function; Cut relations; rectangular islands; height function; cut relations

UR - http://eudml.org/doc/269807

ER -

## References

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