Full Paper View Go Back

Block Related Indices and Coindices of a Graph

B. Basavanagoud1

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.108-112, Apr-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.108112


Online published on Apr 30, 2019


Copyright © B. Basavanagoud . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: B. Basavanagoud, “Block Related Indices and Coindices of a Graph,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.108-112, 2019.

MLA Style Citation: B. Basavanagoud "Block Related Indices and Coindices of a Graph." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.2 (2019): 108-112.

APA Style Citation: B. Basavanagoud, (2019). Block Related Indices and Coindices of a Graph. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 108-112.

BibTex Style Citation:
@article{Basavanagoud_2019,
author = {B. Basavanagoud},
title = {Block Related Indices and Coindices of a Graph},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2019},
volume = {6},
Issue = {2},
month = {4},
year = {2019},
issn = {2347-2693},
pages = {108-112},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1219},
doi = {https://doi.org/10.26438/ijcse/v6i2.108112}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i2.108112}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1219
TI - Block Related Indices and Coindices of a Graph
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - B. Basavanagoud
PY - 2019
DA - 2019/04/30
PB - IJCSE, Indore, INDIA
SP - 108-112
IS - 2
VL - 6
SN - 2347-2693
ER -

307 Views    254 Downloads    118 Downloads
  
  

Abstract :
A nontrivial connected graph with no cutvertices is called a block. A block of a graph is a subgraph of a graph which itself is a block and which is maximal with respect to this property. So far we have seen the graph invariants which are defined on vertices and edges of a graph. In this paper, we introduce new indices and coindices related to blocks of a graph.

Key-Words / Index Term :
block, block indices, block coindices

References :
[1] [1] B. Basavanagoud, S. Patil, Line-block graph of a graph,J. Karnatak Univ. Sci., 50 (2015) 14-18.
[2] [2] B. Basavanagoud, S. Patil, A note on hyper-Zagreb index of graph operations, Iranian J. Math. Chem., 7(1) (2016) 89-92.
[3] [3] B. Basavanagoud, S. Patil, A note on hyper-Zagreb coindex of graph operations, J. Appl. Math. Comput., 53 (2017) 647-655.
[4] [4] B. Basavanagoud, S. Patil, H. Y. Deng, On the second order first Zagreb Index, Iranian J. Math. Chem., 8(3) (2017) 299-311.
[5] [5] B. Basavanagoud, V. R. Desai, S. Patil, (β,α)-Connectivity index of graphs, Appl. Math. Nonlinear Sci., 2(1), (2017) 21-30.
[6] [6] K. C. Das, I. Gutman, Some properties of the second Zagreb index, MATCH Commun. Math. Comput. Chem.,52 (2004) 103-112.
[7] [7] T. Dos ̆lic ̆, Vertex-weighted Wiener polynomials for composite graphs, Ars Math. Contemp., 1 (2008) 66-80.
[8] [8] T. Dos ̆lic ̆, B. Furtula, A. Graovac, I. Gutman, S. Moradi, Z. Yarahmadi, On vertex-degree-based molecular structure descriptors, MATCH Commun. Math. Comput.Chem., 66 (2011) 613-626.
[9] [9] I. Gutman, Degree-based topological indices, Croat. Chem. Acta, 86 (2013) 351-361.
[10] [10] I. Gutman, On the origin of two degree-based topological indices, Bull. Acad. Serbe Sci. Arts (Cl. Sci. Math. Natur.), 146 (2014) 39-52.
[11] [11] I. Gutman, B. Furtula, Z. Kovijanic` Vukic`evic`, G. Popivoda, Zagreb indices and coindices, MATCH Commun. Math. Comput. Chem., 74 (2015) 5-16.
[12] [12] F. Harary, Graph Theory, Addison-Wesley, Reading, 1969.
[13] [13] V. R. Kulli, The block-point tree of a graph, Indian J. pure appl. Math, 7 (1976) 10-14.
[14] [14] A. Milic`evic`, S. Nikolic`, N. Trinajstic`, On reformulated Zagreb indices, Mol. Divers., 8 (2004) 393-399.
[15] S. Nikolic`, G. Kovac ̆evic`, A. Milic ̆evic`, N. Trinajstic`, The Zagreb indices 30 years after, Croat. Chem. Acta, 76 (2003) 113-124.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation