PUBLICATIONS

 

 

14. “The Regular Grid Domination Number,” Minh Dang, Elliot Krop; in preparation.

 

13. “On anti-Ramsey numbers for complete bipartite graphs and the Turán function,” Elliot Krop, Michelle York; submitted.

URL: http://arxiv.org/abs/1108.5204

 

12. “Sequences of Matchings in Path-Type Graphs,” Sarah Holliday, Elliot Krop;  Congressus Numerantium, accepted (2011).

URL: http://cims.clayton.edu/ekrop/HollidayKropMatchingsPathType.pdf 

 

11. “Some work on a problem of Marco Buratti,” Elliot Krop, Brandi Luongo; submitted.

URL: http://arxiv.org/abs/1106.0624

 

10. “On the edge-balanced index sets of complete bipartite graphs,” Elliot Krop, Keli Sikes; Congressus Numerantium, accepted (2011).

URL: http://arxiv.org/abs/1106.1085

 

9. “On super edge-graceful trees of diameter four,” Elliot Krop, Fedelis Mutiso, Christopher Raridan; Congressus Numerantium, accepted (2011).

URL: http://arxiv.org/abs/1106.3063

 

8. “Almost-Rainbow edge-coloring of some small subgraphs,” Elliot Krop, Irina Krop; submitted.

URL:       http://arxiv.org/abs/0803.0572

               

7. “On the edge-balance index sets of product graphs,” Elliot Krop, Sin-Min Lee, Christopher Raridan; Journal of the Indonesian Mathematical Society, accepted (2011).

URL:       http://arxiv.org/abs/1103.4994

 

6. “On the number of unlabeled vertices in edge-friendly labelings of graphs,” Elliot Krop, Sin-Min Lee, Christopher Raridan; Discrete Mathematics, accepted (2010).

URL:       http://cims.clayton.edu/ekrop/UnlabeledVerticesGeneral[1].pdf

 

5. “Nonmedian Direct Products of Graphs with Loops,” Kristi Clark, Elliot Krop;  Ars Combinatoria, accepted (2010).

URL:       http://cims.clayton.edu/ekrop/Nonmedian Direct Products of Graphs with Loopsfinal.pdf

 

4. “On the Number of Matchings in Regular Graphs,” Shmuel Friedland, Elliot Krop, Klas Markström; Electronic Journal of Combinatorics, 15 (2008), #R110, 1-28.

URLs:     http://cims.clayton.edu/ekrop/Number_of_Matchings.pdf

                              http://arxiv.org/abs/0801.2256

 

3. “Validations of the Asymptotic Matching conjectures,” S. Friedland, E. Krop, P.H. Lundow, K. Markstrom;  Journal of Statistical Physics, 133(3):513-533, 2008.

URLs:     http://cims.clayton.edu/ekrop/torgrph-070615.pdf

http://front.math.ucdavis.edu/math.CO/0603001

 

2. “Exact Conditions for Countable Inclusion-Exclusion Identity and Extensions,” Shmuel Friedland, Elliot Krop; International Journal of Pure and Applied Mathematics, 29 (2006), 177-182.

URLs:     http://cims.clayton.edu/ekrop/inclexcl8.8.05.pdf

http://front.math.ucdavis.edu/math.PR/0602035

 

1. “Remarks on the Box Problem,” Nets Hawk Katz, Elliot Krop, and Mauro Maggioni; Mathematical Research Letters 9, 515-519 (2002).

URL:       http://cims.clayton.edu/ekrop/2002-009-004-011.pdf