I have been working in areas of Graph Theory and Discrete Mathematics in recent years; my interests extend further to the intersection of algebra and geometry.

**Cong X. Kang**

**Associate Professor**

Division of Foundational Sciences, Mathematics

## Learn more about Cong X. Kang

**Expertise****Education****Ph.D.***Mathematics (Algebraic Geometry)*, University of Texas at Austin, 1999

B.S.*Mathematics*, Carnegie Mellon University, 1992**Publications**- "
**On the simultaneous metric dimension of a graph and its complement**" (with Iztok Peterin and Eunjeong Yi), Rockey Mountain J. Math., to appear - "
**Maker-Breaker metric resolving games on graphs**" (with Eunjeong Yi), Discrete Math. Algorithms Appl., Vol. 16, No. 2, (2350006), 2024 - "
**The simultaneous fractional dimension of graph families"**(with Iztok Peterin and Eunjeong Yi), Acta Math. Sin. (Engl. Ser.) (Springer), Vol. 39, (pp. 1425-1441), 2023 - “
**Distance-k locating-dominating sets in graphs**” (with Eunjeong Yi), Bull. Inst. Combin. Appl., Vol. 95, (pp. 38-56), 2022 - "
**Maker-Breaker resolving game**" (with Sandi Klavzar, Ismael G. Yero and Eunjeong Yi), Bull. Malays. Math. Sci. Soc., Vol. 44, (pp. 2081-2099), 2021 - "
**On Laplacian monopoles**" (with Gretchen L. Matthews and Justin D. Peachey), Australas. J. Combin., Vol. 77(3), (pp. 383-397), 2020 https://ajc.maths.uq.edu.au/pdf/77/ajc_v77_p383.pdf - "
**The connected metric dimension at a vertex of a graph**" (with Linda Eroh and Eunjeong Yi), Theoret. Comput. Sci., Vol. 806, (pp. 53-69), 2020 https://doi.org/10.1016/j.tcs.2018.11.002 - "
**The fractional k-metric dimension of graphs**" (with Ismael G. Yero and Eunjeong Yi), Appl. Anal. Discrete Math., Vol. 13, (pp. 203-223), 2019 **"Bounds on the sum of domination number and metric dimension of graphs” (with Eunjeong Yi), Discrete Math. Algorithms Appl., Vol. 10, No. 5 (1850066), 2018****"The fractional strong metric dimension in three graph products” (with Ismael G. Yero and Eunjeong Yi), Discrete Appl. Math., Vol. 251, (pp. 190-203), 2018****"A Comparison between the Metric Dimension and Zero Forcing Number of Trees and Unicyclic Graphs" (with Linda Eroh and Eunjeong Yi), Acta Math. Sin. (Engl. Ser.) (Springer), Vol. 33, Issue 6 (pp. 731-747), 2017****"On the fractional strong metric dimension of graphs", Discrete Appl. Math., Vol. 213 (pp. 153-161), 2016****"On Domination Number and Distance in Graphs", Discrete Appl. Math., Vol. 200 (pp. 203-206), 2016****"The effect of vertex or edge deletion on the metric dimension of graphs" (with Linda Eroh, Paul Feit, and Eunjeong Yi), J. Comb. (International Press), Vol. 6, No. 4 (pp. 433-444), 2015****"On Zero Forcing Number of Graphs and Their Complements" (with Linda Eroh and Eunjeong Yi), Discrete Math. Algorithms Appl., Vol. 7, No. 1 (1550002), 2015****"A Comparison between the Zero Forcing Number and the Strong Metric Dimension of Graphs" (with Eunjeong Yi), COCOA 2014, Lecture Notes in Comput. Sci. (Springer), Vol. 8881 (pp. 356-365), 2014****"The fractional strong metric dimension of graphs" (with Eunjeong Yi), COCOA 2013, Lecture Notes in Comput. Sci. (Springer), Vol. 8287 (pp. 84-95), 2013****"Metric Dimension and Zero Forcing Number of Two Families of Line Graphs" (with Linda Eroh and Eunjeong Yi), Math. Bohem., Vol.139, No. 3 (pp. 467-483), 2014****"On Metric Dimension of Permutation Graphs" (with Michael Hallaway and Eunjeong Yi), J. Comb. Optim., Vol. 28, Issue 4 (pp. 814-826), 2014****"On Metric Dimension of Functigraphs" (with Linda Eroh and Eunjeong Yi), Discrete Math. Algorithms Appl., Vol. 5 No. 4 (1250060), 2013****"Probabilistic Zero Forcing in Graphs" (with Eunjeong Yi), Bull. Inst. Combin. Appl., Vol. 67 (pp. 9-16), 2013****"On Metric Dimension of Graphs and Their Complements" (with Linda Eroh and Eunjeong Yi), J. Combin. Math. Combin. Comput., Vol. 83 (pp. 193-203), 2012****"Domination in Functigraphs" (with Linda Eroh, Ralucca Gera, Craig Larson and Eunjeong Yi), Discuss. Math. Graph Theory, Vol. 32(2) (pp. 299-319), 2012****"Iteration Index of a Zero Forcing Set in a Graph" (with Kiran Chilakamarri, Nathaniel Dean, and Eunjeong Yi), Bull. Inst. Combin. Appl., Vol. 64 (pp. 57-72), 2012****"Total Domination Value in Graphs", Util. Math., Vol. 95 (pp. 263-279), 2014****"Graphs 2-cell Embedded in Non-orientable Surfaces and Their Coding Sequences" (with Eunjeong Yi), Far East J. Math. Sci., Vol. 31, Issue 1 (pp. 119–129), 2008****"The Convergence Behavior of f_{\alpha}(x)=(1+\frac{1}{x})^{x+\alpha}" (with Eunjeong Yi), College Math. J., Vol. 38, (pp. 385–387), 2007 [Cited as a reference in the chapter "The Exponential Function" of the book "More Calculus of a Single Variable" by P. R. Mercer, Springer, Undergraduate Texts in Mathematics, 2014] There is a Wolfram (Demonstrations Project) applet for the paper; see https://demonstrations.wolfram.com/TheConvergenceBehaviorOfAOneParameterFamily/****"Disk versus Frustum" (with Eunjeong Yi), Texas College Math. J., Vol. 4 (pp. 13–20), 2007****"On Lang's Conjecture for Surfaces of General Type", Communications in Algebra, Vol. 31 No 2 (pp. 945–957), 2003**

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