Result Details
Graphs with a path partition for structuring the digital plane
ŠLAPAL, J. Graphs with a path partition for structuring the digital plane. INFORMATION SCIENCES, 2013, vol. 233, no. 1, p. 305-312. ISSN: 0020-0255.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., DO (FME), IM (FME)
Abstract
We introduce the concept of graphs with a path partition
and define a special type of connectedness in these graphs. The
connectedness is shown to have certain properties suitable for using
graphs with a path partition as convenient background structures on
digital spaces for the study of digital images. We introduce a
family of such graphs on the integer plane and present a Jordan curve
theorem for them.
Keywords
Graph with a path partition, arc, Jordan curve, digital plane
Published
2013
Pages
305–312
Journal
INFORMATION SCIENCES, vol. 233, no. 1, ISSN 0020-0255
BibTeX
@article{BUT97401,
author="Josef {Šlapal}",
title="Graphs with a path partition for structuring the digital plane",
journal="INFORMATION SCIENCES",
year="2013",
volume="233",
number="1",
pages="305--312",
issn="0020-0255"
}
Projects
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, start: 2011-01-01, end: 2015-12-31, completed
Departments