Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998
Association of Mizar Users
Oriented Chains

Yatsuka Nakamura

Shinshu University, Nagano

Piotr Rudnicki

University of Alberta, Edmonton
Summary.

In [8] we introduced a number of notions about vertex
sequences associated with undirected chains of edges in graphs. In
this article, we introduce analogous concepts for oriented chains and
use them to prove properties of cutting and glueing of oriented
chains, and the existence of a simple oriented chain in an oriented
chain.
MML Identifier:
GRAPH_4
The terminology and notation used in this paper have been
introduced in the following articles
[10]
[12]
[13]
[4]
[3]
[5]
[11]
[1]
[6]
[2]
[7]
[8]
[9]

Oriented Vertex Sequences

Cutting and Glueing of Oriented Chains

Oriented Simple Chains in Oriented Chains
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Received August 19, 1998
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