| Algorithms for optimal orientations of a unicyclic graph |
| Full text |
Pdf
(571 KB)
|
| Source
|
ACM Southeast Regional Conference
archive
Proceedings of the 42nd annual Southeast regional conference
table of contents
Huntsville, Alabama
Pages: 219 - 223
Year of Publication: 2004
ISBN:1-58113-870-9
|
|
Authors
|
|
Suk Jai Seo
|
Middle Tennessee State University, Murfreesboro, TN
|
|
Ashok T. Amin
|
University of Alabama in Huntsville, Huntsville, AL
|
|
| Sponsor |
|
| Publisher |
|
| Bibliometrics |
Downloads (6 Weeks): 3, Downloads (12 Months): 15, Citation Count: 1
|
|
|
ABSTRACT
Let (G, R) denote the directed graph obtained from undirected graph G by an acyclic orientation R so that (G, R) contains no directed cycle. We consider acyclic orientations R of a unicyclic graph G which maximizes/minimizes the number of ordered pairs of non-adjacent vertices with directed paths in (G, R). These orientations are referred as optimal orientations. We present algorithms to determine optimal orientations of a unicyclic graph.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
S. S. Anderson and F. Harary, Trees and unicyclic graphs. Mathematics Teacher. 60(1967), pp. 145--348.
|
| |
2
|
Béla Bollobás and M. Rosenfeld, Sorting in One Round. Israel J. of Math. 38 (1981), pp. 154--160.
|
| |
3
|
O. Chan, C. C. Chen, and P. J. Slater, On a Characterization of Comparability Graphs. Ars Combinatoria 23A (1987) pp. 67--79.
|
| |
4
|
|
| |
5
|
|
| |
6
|
|
| |
7
|
F. Harary, Graph Theory. Addison-Wesley, Reading, MA (1969).
|
| |
8
|
H. E. Robbins, A Theorem on Graphs with an Application to a Problem of Traffic Control, Amer. Math. Monthly 46 (1939), pp. 281--283.
|
| |
9
|
Suk Jai Seo, On Optimal Acyclic Orientations of a Graph. A Ph.D Dissertation, University of Alabama in Huntsville (2001).
|
| |
10
|
Suk Jai Seo and A. T. Amin, On extremal Oriented Trees. Congressus Numerantium (2001).
|
| |
11
|
H. Wang and A. T. Amin, On Optimal Acyclic Orientations of a Graph. Congressus Numerantium 137 (1999), pp. 121--128.
|
|