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  • 전임교수

교수/구성원

전임교수

  • 교수 대수학
  • 킨카찬드라다스 홈페이지 바로가기

관심분야

I am interested in all areas in Graph Theory ( particularly Spectral Graph Theory, ExtremalGraph Theory, Molecular Graph Theory), Graph Labeling, Graph Algorithm, Discrete Mathematics and Combinatorics.

학력

  • (PhD) 2000 ? 2004, Department of Mathematics, Indian Institute of Technology

약력/경력

  • 2007.9? 2009.8, Lecturer/Assistant Professor, Department of Mathematics, College of Science, SungKyunKwan University,
  • 2005.10 ? 2006.10, Postdoc, Laboratoire de Recherche en Informatique (LRI), France.
  • 2006.11 ? 2007.8, Postdoc and Teaching, Department of Mathematics, College of Science, SungKyunKwan University, SOUTH KOREA.
  • 2005.3 ? 2005.9, Postdoc, Pohang University of Science and Technology, SOUTH KOREA.
  • 2005.10 ? 2006.10, Postdoc, Laboratoire de Recherche en Informatique (LRI), France.
  • 2006.11 ? 2007.8, Postdoc and Teaching, Department of Mathematics, College of Science, SungKyunKwan University, SOUTH KOREA.

학술지 논문

  • (2026)  On Diameter-Constrained Unicyclic Graphs and BID Indices.  MEDITERRANEAN JOURNAL OF MATHEMATICS.  23,  41
  • (2026)  Solutions to open problems on the exponential augmented Zagreb index.  DISCRETE MATHEMATICS.  349,  114967
  • (2026)  On diameter-constrained trees and BID indices.  JOURNAL OF APPLIED MATHEMATICS AND COMPUTING.  72,  71
  • (2025)  Proof of a Conjecture on the Atom-Bond Sum-Connectivity Index of Bicyclic Graphs.  MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY.  95,  3
  • (2025)  Resolving Open Problems on the Euler Sombor Index.  MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY.  95,  3
  • (2025)  Resolving the Conjecture of Tricyclic Graphs Minimizing the Diminished Sombor Index.  MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY.  95,  3
  • (2025)  Proof of an open problem on the maximization of the Euler–Sombor index in chemical unicyclic graphs.  CHAOS SOLITONS & FRACTALS.  203,  117720
  • (2025)  Augmented Sombor Index.  MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY.  95,  1
  • (2025)  Potential Laplacian variant of graphs.  COMPUTATIONAL & APPLIED MATHEMATICS.  45,  1
  • (2025)  General Sombor index: a study of branching in trees and solution for maximal trees with prescribed maximum degree.  JOURNAL OF COMBINATORIAL OPTIMIZATION.  50,  21
  • (2025)  Exponential Harmonic Index and Its Applications in Structure Property Modeling.  INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY.  125,  1
  • (2025)  On the Energy of Graphs with Self-loops.  MEDITERRANEAN JOURNAL OF MATHEMATICS.  22,  139
  • (2025)  Proof of a Conjecture on Sombor Index and the Least Sombor Eigenvalue of Graphs.  MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY.  94,  6
  • (2025)  The General Sombor Index of Extremal Trees with a Given Maximum Degree.  MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY.  94,  6
  • (2025)  On Elliptic Sombor Index with Applications.  BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY.  48,  108
  • (2025)  On the Szeged–Sombor Index of Graphs.  MATHEMATICAL NOTES.  117,  4
  • (2025)  A complete solution for maximizing the general Sombor index of chemical trees with given number of pendant vertices.  APPLIED MATHEMATICS AND COMPUTATION.  505,  129532
  • (2025)  Resolving an Open Problem on the Exponential Arithmetic–Geometric Index of Unicyclic Graphs.  MATHEMATICS.  13,  1391
  • (2025)  On the vertex degree function of graphs.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  44,  183
  • (2025)  Role of GA, AG and R in Structure-Property Modelling.  POLYCYCLIC AROMATIC COMPOUNDS.  45,  2

단행본

  • (2015)  The Harary Index of a Graph.  Springer.  공동

학술회의논문

  • (2016)  On energy, Laplacian energy and signless Laplacian energy of graphs.  The 12th Annual Meeting of the International Academy of Mathematical Chemistry.  중국
  • (2016)  On (signless) Laplacian eigenvalues of graphs.  Spectra of graphs and applications 2016.  세르비아(2)
  • (2015)  On Laplacian eigenvalues of graphs.  46th Annual Iranian Mathematics Conference.  이란
  • (2014)  Proof of conjectures on the distance signless Laplacian eigenvalues of graphs.  중국
  • (2014)  On Kirchhoff index, Laplacian energy and Laplacian-energy-like invariant of graphs.  2014 Annual Meeting of the Korean Society for Industrial and Applied Mathematics.  대한민국
  • (2014)  Relation between energy of different matrices from graph.  Eighth Shanghai Conference On Combinatorics.  중국
  • (2014)  Eigenvalues of graph matrices and graph parameters.  Moscow Workshop on Combinatorics and Number Theory.  러시아
  • (2013)  The relation between the eigenvalues of graph matrices with graph parameters.  The second workshop on spectral graph theory and related topics.  일본
  • (2013)  Sharp bounds for energy of graphs.  International conference on algebra.  튀르키예

전시/발표회

  • (2024)  On vertex-degree-based exponential topological indices of graphs.  중국, 
  • (2023)  On topological indices of graphs.  중국, 
  • (2023)  On Spectral Graph Theory.  몽골,