Gulbarga University
Year of establishment:1980-81
Gulbarga - 585 106, Karnataka State - India
Department of P.G. Studies and Research in Mathematics

Dr. M. H. Muddebihal

Professor

Dept of PG Studies and Research in Mathematics,

Jnana Ganga, Gulbarga University,

Gulbarga.-585 106 Karnataka, India

Tel No.: +91 8472-263296 (O)

+91 8472-263205/06 (Fax)

Residence

C/O Syed Yunus Ali H. No. 4-601/6544

Behind Macca Masjid, Mahatma basaveshvar colony

Gulbarga - 585 106 Karnataka, India

+919449177697 (Cell)

Date of Birth: 19-02-1959

Academic Qualifications: M.Sc., M.Phil., Ph.D.

M.Sc.

Gulbarga University, Gulbarga.

1985
Ph.D.

Gulbarga University, Gulbarga, Karnataka, India. Topic :Some results in the theory of Graphs.

1992

Areas of Specialization

Graph Theory, Discrete Mathematics.

Teaching Experience
1. 1990 to 2005 Bangalore University, Bangalore.
2. 2005 to till date Gulbarga University, Gulbarga.
Administrative Experience
1.

Chairman Dept. of Mathematics, P.G. Center, Tumkur for two years.

2. Chairman Dept. of Mathematics, Gulbarga University from 6-6-2013 till date.
3.

Chairman Minority Cell, Gulbarga University, Gulabarga from 14-09-2012 till date.

No. of Students
No of Ph.D awarded Students:    08

No of Ph.D Persuing Students:    08

No of M.Phil awarded Students: 10

Research Guidance

● Doctor of Philosophy

Sl.No.

Name of the student

Title of the Thesis

   Year

1. R. Chandrashekhar Some recent studies in Graph Theory 2004
2. Smt. P. Usha Some results in the field of Graph Theory 2006
3. Smt. Y.A. Bagewadi Recent results on domination in the field of Graph Theory 2010
4. Syed Babajan Studies on graph valued functions in the theory of graphs 2011
5. Milind S.Chippalkatti Some Domination Results in the field of Graph Theory 2011
6. Anil Sedamkar Characterization of some Domination Results in Graph Theory 2012
7. D. Basavarajappa Some Recent Domination Results in Graph Theory 2012
8. G.Shrinivasa Some Recent Dominatin Results in Squares of Graphs 2013

● Master of Philosophy

Sl.No.

Name of the student

Title of the Thesis

   Year

1. L. Venkat Reddy Forbidden Subgraphs for join and product of graphs with crossing number one. 1996
2. Deepak Forbidden subgraphs for lict and litact graphs with crossing number zero. 1997
3. Mariya Kibtiya Forbidden subgraphs for minimally nonouter planar lict and litact graphs. 1997
4. Milind Chippalkatti Split closed neighborhood graph of graph and forbidden subgraphs for lict and litact graphs with crossing number one. 1998
5. P. Usha Image neighborhood graph and on entire total closed neighborhood graph of a graph. 1998
6. Mahesh A.J. On lict graphs with crossing number two. 2007
7. Swati M.K. On regular number of a square graphs. 2008
8. Siddaram Patil Regular number of lict and litact graph of a graph. 2010
9. Anil Pujari Results on planarity of square of block graph of a graph. 2012
10. Ashok S. Mulge Strong Split Domination in Line Graphs 2012
Research Publications
1. Characterizations of cubes with crossing number one, Gulbarga Uni. Res. J. Vol. No. 2 (38-43) 1988.
2. Forbidden subgraphs for product of graphs with crossing number one, Proc. Nat. Workshop on Graph Theory and its Applications, (71-75) 1996.
3. Forbidden subgraphs for planarity of the square of the graph, Vig. Bharathi. J. for Sci. Eng. and Tech. Vol. 14, I (50-51) 1998.
4. Characterization of C trees and total C trees with crossing number one Vig. Bharathi. J. for Sci. Eng. and Tech. Vol. 14, II (29-31) 1999.
5 Total block graphs and semitotal block graphs with crossing numbers, Far-East. J. Appl. Math. 4(1) (99-106) 2000.
6. Characterization of join graphs with crossing number zero, Far-East. J. Appl. Math. 5(1) (87-97) 2001.
7. Product of graphs with crossing number one, Far-East. J. Appl. Math. 5(2) (225-234) 2001.
8. Characterization of product of adjancy matrix and incidence matrix of a graph, J, Edu. Vol. 35(4) (189-191) 2001.
9. On pathos line graph of a tree, Nat. Acad. Sci. letters Vol. 24 (21-27) 2001.
10. Spectrum of product of incidence matrix and its transpose of a graph, J. Math. Edu. Vol. 36(I) (10-12) 2002.
11. Image neighborhood graph of a graph, J. Math Edu. Vol. 36(II) (92-96) 2002.
12. The spectrum of biregular graphs, J. Math. Edu. Vol. 37(4) (26-31) 2003.
13. Forbidden subgraphs for minimally non-outerplanar and crossing number one of second sequence lict graphs, Far-East. J. Appl. Math. 10(3) (193-203) 2003.
14. On pathos lict graph of a tree, J. Nat. Acad. Sci. letters Vol. 20 No 7&8 (263-270) 2003.
15. Second sequence lict and litact graph of a graph, J. Applied Science periodical Vol. 6 No. 2 (89-96) 2004.
16. Image neighborhood domination in graphs, proceedings of National conference on Geometry, Analysis, Fluid mechanics and computer Applications, (42-49) 2004.
17. Line Entire Domination in Graphs ,Proceedings of National Conference on Geometry ,Analysis , Fluid Mechanics and Computer Applications , Kuvempu University, Shimoga,150-1590.(2004).
18. Domination in Semitotal block graphs, Bulletine of pure and applied sciences 23E (1) (195-202) 2004.
19. Semitotal block nonsplit domination in graphs, J. Analy. and Computation Vol. No. 1 (31-37) 2005.
20. Lict and Litact graph of a graph, J. Analy. and Computation Vol. 2 No. 1 (33-43) 2006.
21. Inverse entire domination in graphs, J. Analy. and Computation Vol. 3 No.2 (141-146) 2007.
22. On pathos edge semi entire graph of a tree, J. Far-East. Appl. Math. 27(1) (85-91) 2007.
23. Entire semitotal block domination in graphs, J. Analy. and Computation Vol. 4 No.1 (51-58) 2008.
24. Maximal semitotal block domination in graphs, International J. of Mathematical Sciences, Vol. 7 No. 1-2 January-June (69-80) 2008.
25. Forbidden subgraphs for minimally non-outerplanar and crossing number one blict graph, J. Intelligent system Research 2(2) (97-106) 2008.
26. Pathos edge semientire graph of a Middle graph of a tree, J. Intelligent system Research 2(2) (141-144) 2008.
27. On pathos line subdivision of a tree, J. Intelligent system Research 3(1) January-June (37-43) 2009.
28. End edge domination in graphs, Pecific-Asian Journal of Mathematics, Vol. (3) No. (125-133) 2009.
29. Total domination in line graphs, International J. of Mathematical sciences Vol. 9 No. 1-2 (35-41) January-June 2010.
30. Edge semi total block domination in graphs, South East Asian J. Math. and Math. Sci. Vol. 9 (33-44) 2010.
31. Complementary edge semitotal block domination in graphs, J. Advances and Applications in Discrete Math. Vol. 5, No. 1 (23-36) 2010.
32. Connected domination in line graphs, International J. of Applied Mathematical Analysis and Applications, Vol. 5, No. 1 (1-10) January-June 2010.
33. Characterization of Trees with equal end edge domination, independent edge domination and connected edge domination numbers, Canadian J. on Science and Engg. Math. Vol. No. 4 (80-95) Sept 2010.
34. Roman domination in line graphs, Canadian J. on Science and Engg. Math. Vol. 1 No. 4 (69-79) Sept 2010.
35. Cototal semitotal block domination in graphs, Canadian J. on Science and Engg. Math. Vol.1 No. 4 (57-68) Sept 2010.
36. Forbidden subgraphs for lict and litact graphs with crossing number one, J. Analysis and computation, Vol. 6. No. 2 (59-67) July-Dec 2010.
37. Connected semitotal block domination in graphs, J. Analysis and computation, Vol. 6. No. 2 (141-150) July-Dec 2010.
38. Entire Total block domination in graphs, J. Analysis and computation, Vol. 6. No. 2 (53-58) July-Dec 2010.
39. Total block domination in graphs, J. Analysis and computation, Vol. 6. No. 2 (85-90) July-Dec 2010.
40. Edge Total Block Domination in Graphs, J.Analysis and computation,Vol.7.NO.1(73 -81) Jan to June 2011.
41. On Pathos Line Block cut point of a Graph , J.Intelligent System Research,vol.5(1)(27-35) Jan-June-2011.
42. On Pathos Semitotal and Total Block Graph of a Tree, Inter. j. Math.Combin.Vol.2 (64-78)2011.
43. On Pathos Total Semi Total and Entire Total Block Graph of aTree,International J.Math.Combin.Vol.2.No.(39-51)(2012).
44. Inverse Regular Domination in Graphs, Ultra Scientist Vol.23 (2) M,(531-538) 2011.
45. Domination in Squares of  Graphs,Ultra Scientist Vol.23(3)A,(795-800)2011.
46. Restrained Domination Line Graphs, Canadian Journal of Engg.Math.Vol.2No.5,(Dec-2011)
47. Independent Domination in Line graphs, Inter. J. Science and Eng. Research, Vol. 3 June-2012.
48.

Connected Domination in Block Subdivision Graphs of a Graphs, Mathematical Theory and Modeling, ISSN 2224-5804(paper), Vol.2, No.6. (10-21) 2012.

49. Bounds on Connected Domination in Squares of Graphs, Inter. J. science and Tech. Vol. 1. No. 4 April-2012.
50. Pathos Lict Jump Graph of a Tree, Advances in Theoretical and Applied mathematics, Vol. 7, No. 3 (247-252) 2012.
51. End Edge Domination in Subdivision of Graphs, Eng. Math. Letters, Vol. No.1 (6-17) 2012.
52. Bounds On Domination Number of Block Graphs of Graphs, J. Comp. and Math. Sci.vol.3 (2), (225-231) 2012
53.

Characterization of Trees with Equal Total Edge Domination and Double Edge Domination Numbers,  Mathematical Theory and Modeling, ISSN 2224-5804(paper), Vol.2, No.5. (75-89) 2012.

54. On the Geodetic Number of Line Graph, Int. J. Contempt. Math. Sciences, Vol. 7, 2012, no.46, 2289-2295.
55. Roman  Litact Domination in Graphs, Ultra Scientist of physical sciences, Vol. No. 24(3)A, 449-458 (2012).
56. Connected Lict Domination in Graphs, Ultra Scientist of physical sciences, Vol. No. 23(A),459-468(2012).
57. Connected Litact domination in Graphs, Ultra Scientist of physical sciences, Vol. No. 23(A), 515-521(2012).
58. Domination in Block Subdivision Graphs of a Graphs, Impact Journal of Science and technology, Fizi Islands, Vol. 6, No.1, 37-42(2012).
59. Roman Lict Domination in Graphs, Ultra Scientist of Physical Sciences,Vol.No 24(3)A,449-458(2012).
60. Restrained domination in Block Subdivision Graphs of a Graphs, Asian Pacific Journal of Mathematics, India(2012).
61. Fractional domination in line graphs, Modern Journal of Science, technology and Engineering 2012. ISSN, 2251-6948, UK. London
62. On the Lict Geodetic number of a graph, International journal of Mathematics and computer Application Research, Volume No.2,Issue3,65-69,2012,Impact Factor:2.0534
63. Characterization of graphs with equal domination and weakly convex domination numbers, Text book of Advances in Domination theory (V. R. Kulli, Vishwa International Publications) (2012).
64. Characterization of end domination in trees, Int. J. of Eng. Sci. and Tech. Vol.4. No. 01, Jan (2012).(311-315).
65. Characterization of trees with equal edge domination and end edge domination number (Int. J. of Mathematics and Computer Applications Research ISSN No. 2249/66-55, Vol.3 (1) March 2013) (33-41).
66. Bounds on Total Domination in Square of Graphs, International Journal of Advanced Computer and Mathematical Sciences. ISSN. 2230-9624. Vol4, Issue1, 2013.pp 638-645.
67. Fractional domination in line graphs, Modern Journal of science, technology and Engg. 2012. ISSN, 2251-6948, London, UK.
68. Characterization of graphs with equal domination and weakly convex domination numbers, Text book of Advances in Domination Theory(V.R Kulli,Vishva International publications) (2012).
69. Characterization of end domination in trees, Int. J. of Eng.Sci.and Tech.Vol.4.No.01,Jan(2012),(311-315).
70. Characterization of trees with equal edge domination and end edge domination number, Inter. j. of Mathematics and Computer Application Research ISSN No.2249/66-55, Vol.3 (1) March 2013(33-41).
71. Cototal Domination in line Graphs,Int.J. of Math. And Comp. Applications Research.ISSN(print):2249-6955,Vol-4-Feb-14,Impact Factor(2014)= 4.2929
72. Split Block Domination in Graphs.Int J.Of Research in Engg.And Technology.eISSN-2319-1163, P-ISSN: 2321-7308.
73. Connected Roman Domination in graphs,IJRET,Vol 2,Issue 10,Oct 2013,eISSN-2319-1163,P-ISSN:2321-7308.
74. Roman Subdivision Domination in graphs (accepted) ,IJERST 2014.
75. Edge Lict Domination in Graphs,Elixir International Journal,ISSN-2229-712X,Math 62 (2013)
76. Restrained domination in block subdivision graphs of graphs, Pacific Asian Journal of Maths, Vol 6, No-2, (July- Dec 2012) PP141-148.
77. Connected block domination in graphs, Ultra Scientist-Vol 25(3) A, 453-458, (2013).
78. Bound on double domination in square of graphs,IJRET,Vol-2,Issue -9,Sep-2013,Impact Factor-1.962,eISSN-2319-1163,P-ISSN-2321-7308,454-458.
79. Bounds on total domination in square of graphs, International Journal of Advanced Computer and Mathematical Sciences, ISSN: 2230-9624, Vol-4, No-1, 2013, PP67-74.
80. Bounds on roman domination in square of graphs.Int.J. of Mathematical Archive.ISSN:2229-5046,Vol-4,No-6,2013,PP-176-180,Impact Factor-0.80.
81. Bounds on restrained domination in squares of graphs, International Journal of mathematical Sciences,ISSN-2051-5995,Vol-33,No-2,August 2013,PP1173-1178,Impact factor=2.31,UK.
82. On inverse domination in square of graphs,Int.j.of Research in Engg & Tech.eISSN:2321-7308,Vol -02,No-10,Octo-2013,PP 552-556,Impact Factor1.962
83. Regular total domination in line graph Euro.Int. J.Of Science & Tech.ISSN:2304-9693.
84. Inverse Total Block Domination in Graphs, Int.J of Ultra Scientist of Physical Sciences (accepted).
85. Maximal Total blocks Domination in Graphs, Int.J of Ultra Scientist of Physical Sciences (accepted).
86.

Regular Total Domination in Line Graphs, Eu. Journal of Science and Technology. ISSN-2304-9693.

87. Invers Domination in Line Graphs, Int.J. of Mathematical Archive.ISSN:2229-5046, Impact Factor-0.80 (accepted).
88. Cototal Block Domination in Graph Int. J. of Engg. Sci. and Maths, Vol 3 Issue 3, ISSN-2320-0296 Impact Factor 4.67.
89. Strong Split Lict Domination in Graphs, International Journal of Engineering and Scientific Research, ISSN-2347-6532,2(7), July- 2014, 187-198, I.F -3.847
90. Strong  Split Block Domination in Graphs, International Journal of Engineering and Scientific Research, ISSN-2347-6532, 2(10), October- 2014, 102-112, I.F -3.847.
91. Roman Subdivision Domination in Graphs, International Journal for Eng., sci. and Research Technology, 3(3),ISSN-2277-9655, March-2014, 1441-1447.
92. Restrained Lict Domination in Graphs., Int. J. Of Research in Eng. and Tech., ISSN-2319-1163, 3(5), May-2014, 784-790, I.F -1.962.
93. Independent Lict Subdivision Domination in Graphs, Int. J. of Scientific Research, 3(10), ISSN2319-7064 October-2014, 1551-1553, I.F -3.358
94. Independent  Lict Domination in Graphs, Int. J. of Engineering and Scientific Research, ISSN-2347-6532,2(8), August- 2014, 64-72, I.F -3.847.
95. Independent Middle Domination in Graphs, Int. J. of Recent scientific Research,6(1), January-2015, 2434-2437.
96. Restrained Block Domination in Graphs , Int. J.of Engineering and Scientific Research,ISSN: 2347-6532,2(7), July- 2014, 177-186,I.F-3.847
97. Independent Block domination in Graphs, Int. J. Of Math. and computer Application,ISSN: 2249-8060,I.F-4.2949,4(5), October- 2014,47-52.
98. Co-Total domination in Line Graphs, Int. J. Of Math. and computer Application,ISSN-2249-6955,4(1),Feb- 2014,1-8, I.F- 4.2949
99. Split Line Domination in Graphs, Int. J. Of Science and Research,ISSN-2319-7064,3(8),August- 2014,1163-1166, I.F-3.358
100. Inverse line Domination in Graphs, Int. J. of Mathematical Archive,ISSN- 2229-5046,5(5),May-2014,23-28.
101. Degree Equitable Line Domination in Graphs, Engineering Math. Letters,ISSN-2049-9337,19,June-2014,1-10.
102. Regular Total Domination in line Graphs, European Int. J. of Sci. and Technology,ISSN- 2304-9693, 3(3), April-2014,119-126.
103. Co-total block Domination in Graphs, Int. J. of Management and Engineering,ISSN-2249-0558,4(7), July- 2014,337-349, I.F-4.297
104. Minimally Non Outer planar Graphs of Semitotal- Block Graphs and Total Block Graphs, International Journal Of Physical Sciences,ISSN;2231-346X, 26(3)A, Dec-2014,225-256.
105. Roman Block Domination in Graphs, Int.J. For Research in science and advanced technologies, ISSN: 2319-2690, Vol-6, Issue-2, 2013, 267-275.
106. Regular number of subdivision of a Graph, Journal of physical sciences,(accepted).
Books Published
1. Applied Mathematics-II for IV Sem B.E., V.T.U.
2. Graph Theory and Combinatorics IV Sem B.E., V.T.U.
3. Graph Theory for correspondence course B.U.B.
Review Work:
1.

Reviewer of National Science Academy Journal.

2.

Reviewer of International Journal of Graph Theory.

Membership in Research Journals
1. Chief Editor of International Journal of Graph Theory.
2. Member of journal of Ultra Scientist of Physical Sciences.
Special Lectures Delivered
1. Special Lectures Delivered at Siddaganga Institute of Technology, Tumkur.
2. Special Lectures Delivered at National conference on Analysis and Application, Dharwad.
3. Special Lecturer delivered at Maulana Azad National University,Hyderabad.
4. Special Lecturer delivered at National Workshop on Research in Graph Theory,Solapur.

Presentation in National and International Seminars/Conferences/Workshops:

1.

National workshop on Graph Theory and its Applications.

National and International Seminars/Conferences/Workshops Attended:

1. First Annual conference of Ramanujan Mathematical Society in 1986, Dharwad.
2. Conference on Mathematics and its application in 1990, Bangolre.
3. National workshop on Graph theory and its applications 1994, Manipal.
4. Ninth Annual conference of Ramanujan Mathematical Society in 1994, Trivendrum.
5. Workshop on discrete Mathematics, 1995, Calcutta.
6. National workshop on Graph Theory and its applications, 1996, Tirunelveli.
7. National seminar a Combinatorial Mathematics and its Applications, 1997, Belgum.
8. 54th Annual conference of Indian Mathematical Society, 1998, Pune.
9. 14th International conference of the Jangjeon Mathematical Society, 2003, Mysore.
10. National conference on Geometry Analysis, Fluid Mechanics and Compute Applications, 2004, Shimoga.
11. Workshop in Mathematics under UGC SAP-DRS 2007, Gulbarga.
12. National conference on Analysis and Applications 2011, Dharwad. 
13. National conference on Mathematical Science 2012, Maharani Degree College, Bangalore
14. National Workshop on Research in Graph Theory, 2012,Solapur University,Solapur

M. Phil Dissertation Evaluation:

1.

Some results on blict graphs and blitact graphs, Gulbarga University.

2.

Theory of domination and Graph operators, Karnataka University.

3.

Some studies on average distance and dominating sets, Karnataka University.

Ph. D. Thesis Evaluation:

1.

Some results on semientire graphs, Bangalore University, Bangalore

2.

A study on graph theory and its allied topics, Mysore University, Mysore.

3.

Some studies on special domination parameters and Bondage numbers of butterfly graphs, Shri Padmavathi Mahila Vishwavidyalayam, Tirupati.

4.

Some studies on dominating functions of corona product graphs, Shri Venkateshwara University, Tirupati.

5.

Some studies on dominating sets and restrained dominating sets of interval graphs and circular arc graphs. Shri Venkateshwara University, Tirupati.

6.

Some studies on Dominating Function of Euler Totient Caley Graphs, Sri Padmavati Mahila University, Tirupati.