On the adjacent eccentric distance sum of graphs
Halina Bielak; Katarzyna Wolska
Annales UMCS, Mathematica (2015)
- Volume: 68, Issue: 2, page 1-10
- ISSN: 2083-7402
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topHalina Bielak, and Katarzyna Wolska. "On the adjacent eccentric distance sum of graphs." Annales UMCS, Mathematica 68.2 (2015): 1-10. <http://eudml.org/doc/270008>.
@article{HalinaBielak2015,
abstract = {In this paper we show bounds for the adjacent eccentric distance sum of graphs in terms of Wiener index, maximum degree and minimum degree. We extend some earlier results of Hua and Yu [Bounds for the Adjacent Eccentric Distance Sum, International Mathematical Forum. Vol. 7 (2O02) no. 26. 1280-1294]. The adjaceni eccentric distance sum index of the graph G is defined as [...] where ε(υ) is the eccentricity of the vertex υ, deg(υ) is the degree of the vertex υ and D(υ) = ∑u∊v(G) d (u,υ)is the sum of all distances from the vertex υ.},
author = {Halina Bielak, Katarzyna Wolska},
journal = {Annales UMCS, Mathematica},
keywords = {Adjacent eccentric distance sum; diameter; distance; eccentricity; graph; Wiener index; adjacent eccentric distance sum},
language = {eng},
number = {2},
pages = {1-10},
title = {On the adjacent eccentric distance sum of graphs},
url = {http://eudml.org/doc/270008},
volume = {68},
year = {2015},
}
TY - JOUR
AU - Halina Bielak
AU - Katarzyna Wolska
TI - On the adjacent eccentric distance sum of graphs
JO - Annales UMCS, Mathematica
PY - 2015
VL - 68
IS - 2
SP - 1
EP - 10
AB - In this paper we show bounds for the adjacent eccentric distance sum of graphs in terms of Wiener index, maximum degree and minimum degree. We extend some earlier results of Hua and Yu [Bounds for the Adjacent Eccentric Distance Sum, International Mathematical Forum. Vol. 7 (2O02) no. 26. 1280-1294]. The adjaceni eccentric distance sum index of the graph G is defined as [...] where ε(υ) is the eccentricity of the vertex υ, deg(υ) is the degree of the vertex υ and D(υ) = ∑u∊v(G) d (u,υ)is the sum of all distances from the vertex υ.
LA - eng
KW - Adjacent eccentric distance sum; diameter; distance; eccentricity; graph; Wiener index; adjacent eccentric distance sum
UR - http://eudml.org/doc/270008
ER -
References
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- [3] Gupta, S., Singh, M., Madan, A. K., Eccentric distance sum: A novel graph invariant for predicting biological and physical properties, J. Math. Anal. Appl. 275 (2002), 386-401. Zbl1005.92011
- [4] Hua, H., Yu, G., Bounds for the Adjacent Eccentric Distance Sum, Int. Math. Forum, 7, no. 26 (2002), 1289-1294. Zbl1253.05064
- [5] Ilić, A., Eccentic connectivity index, Gutman, I., Furtula, B., (Eds.) Novel Molecular Structure Descriptors - Theory and Applications II, Math. Chem. Monogr., vol. 9, University of Kragujevac, 2010.
- [6] Ilić, A., Yu, G., Feng, L., On eccentric distance sum of graphs, J. Math. Anal. Appl. 381 (2011), 590-600. Zbl1277.05052
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- [8] Yu, G., Feng, L., Ilić, A., On the eccentric distance sum of trees and unicyclic graphs, J. Math. Anal. Appl. 375 (2011), 99-107. [WoS] Zbl1282.05077
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