Tokyo Journal of Mathematics

On Upper Bound Graphs with Edge Operations

Satoshi TAGUSARI

Source: Tokyo J. of Math. Volume 31, Number 2 (2008), 533-540.

Abstract

In the upper bound graph of a poset $P$ with the vertex set $V(P)$, $xy$ is an edge if there exists an $m\in V(P)$ such that $x,y\leq_P m$. We obtain some properties of edge operations of UB-graphs. According to these properties, we consider transformations on split UB-graphs.

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.tjm/1233844068
Digital Object Identifier: doi:10.3836/tjm/1233844068
Mathematical Reviews number (MathSciNet): MR2477888
Zentralblatt MATH identifier: 05545428

References

D. J. Bergstrand and K. F.Jones, On upper bound graphs of partially ordered sets, Congressus Numerantium, 66 (1988), 185--193.
Mathematical Reviews (MathSciNet): MR992902
H. Era, K. Ogawa and M. Tsuchiya, On transformations of posets which have the same bound graph, Discrete Mathematics, 235 (2001), 215--220.
Mathematical Reviews (MathSciNet): MR1829850
Zentralblatt MATH: 0977.05113
Digital Object Identifier: doi:10.1016/S0012-365X(00)00274-0
H. Era, S.-i. Iwai, K. Ogawa and M.Tsuchiya, Note on construction methods of upper bound graphs, AKCE International Journal of Graphs and Combinatorics, 1 (2004), 103--108.
Mathematical Reviews (MathSciNet): MR2120716
Zentralblatt MATH: 1064.05128
S.-i. Iwai, K. Ogawa and M. Tsuchiya, On construction of double bound graphs, Far East Journal of Applied Mathematics, 10 (2003), 161--168.
Mathematical Reviews (MathSciNet): MR1997735
Zentralblatt MATH: 1035.05075
J. R. Lundgren and J. S. Maybee, A characterization of upper bound graphs, Congressus Numerantium, 40 (1983), 189--193.
Mathematical Reviews (MathSciNet): MR734369
F. R. McMorris and T. Zaslavsky, Bound graphs of a partially ordered set, Journal of Combinatorics, Information & System Sciences, 7 (1982), 134--138.
Mathematical Reviews (MathSciNet): MR685506
K. Ogawa, On distances of posets with the same upper bound graphs, Yokohama Mathematical Journal, 47 (1999), 231--237.
Mathematical Reviews (MathSciNet): MR1732780
Zentralblatt MATH: 0947.05029
K. Ogawa, Note on radius of posets whose upper bound graphs are the same, Proceedings of the School of Sciences of Tokai University, 35 (2000), 1--5.
Mathematical Reviews (MathSciNet): MR1761521
Zentralblatt MATH: 0952.05036
K. Ogawa and M. Tsuchiya, Note on distances of posets whose double bound graphs are the same, Utilitas Mathematica, 67 (2005), 153--160.
Mathematical Reviews (MathSciNet): MR2137930
Zentralblatt MATH: 1070.05074

2009 © Publication Committee for the Tokyo Journal of Mathematics