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Algorithms for optimal orientations of a unicyclic graph
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Source ACM Southeast Regional Conference archive
Proceedings of the 42nd annual Southeast regional conference table of contents
Huntsville, Alabama
SESSION: Theory table of contents
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
ACM: Association for Computing Machinery
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 15,   Citation Count: 1
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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.
 
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F. Harary, Graph Theory. Addison-Wesley, Reading, MA (1969).
 
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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.


Collaborative Colleagues:
Suk Jai Seo: colleagues
Ashok T. Amin: colleagues