VE-DEGREES IN SOME GRAPH PRODUCTS

Research Article

Year 2019, Volume: 1 Issue: 2, 58 - 63, 01.07.2019

Let G be a graph and v be a vertex of G. The ve-degree of the vertex v

defined as the number of different edges incident to the vertices of the open

neighborhood of v. In this study we investigate the ve-degrees in Cartesian,

direct and strong products of two graphs.

M. Chellali, T.W. Haynes, S.T. Hedetniemi, T.M. Lewis, On ve-degrees and ev-degrees in graphs, Discrete Mathematics 340 (2017) 31-38.
J. R. Lewis, Vertex-edge and edge-vertex parameters in graphs (Ph.D. thesis), Clemson University, Clemson, SC, USA, 2007, AAI3274303.
J. Lewis, S. T. Hedetniemi, T. W. Haynes, G. H. Fricke, Vertex-edge domination, Util. Math. 81 (2010) 193-213.
R. Boutrig, M. Chellali, T. W. Haynes, S. T. Hedetniemi, Vertex-edge domination in graphs, Aequationes Math. 90 (2) (2016) 355-366.
B. Şahin, S. Ediz, On ev-degree and ve-degree topological indices, Iranian J. Math. Chem. 9 (4) (2018) 263-277.
S. Ediz, Predicting some physicochemical properties of octane isomers: A topological approach using ev-degree and ve-degree Zagreb indices, International Journal ofSystems Science and Applied Mathematics. 2(5) (2017) 87-92.

Year 2019, Volume: 1 Issue: 2, 58 - 63, 01.07.2019

M. Chellali, T.W. Haynes, S.T. Hedetniemi, T.M. Lewis, On ve-degrees and ev-degrees in graphs, Discrete Mathematics 340 (2017) 31-38.
J. R. Lewis, Vertex-edge and edge-vertex parameters in graphs (Ph.D. thesis), Clemson University, Clemson, SC, USA, 2007, AAI3274303.
J. Lewis, S. T. Hedetniemi, T. W. Haynes, G. H. Fricke, Vertex-edge domination, Util. Math. 81 (2010) 193-213.
R. Boutrig, M. Chellali, T. W. Haynes, S. T. Hedetniemi, Vertex-edge domination in graphs, Aequationes Math. 90 (2) (2016) 355-366.
B. Şahin, S. Ediz, On ev-degree and ve-degree topological indices, Iranian J. Math. Chem. 9 (4) (2018) 263-277.
S. Ediz, Predicting some physicochemical properties of octane isomers: A topological approach using ev-degree and ve-degree Zagreb indices, International Journal ofSystems Science and Applied Mathematics. 2(5) (2017) 87-92.

There are 6 citations in total.

Primary Language	English
Journal Section	Articles
Authors	Süleyman Ediz Bünyamin Şahin
Publication Date	July 1, 2019
Acceptance Date	May 19, 2019
Published in Issue	Year 2019 Volume: 1 Issue: 2

APA	Ediz, S., & Şahin, B. (2019). VE-DEGREES IN SOME GRAPH PRODUCTS. MATI, 1(2), 58-63.
AMA	Ediz S, Şahin B. VE-DEGREES IN SOME GRAPH PRODUCTS. Mati. July 2019;1(2):58-63.
Chicago	Ediz, Süleyman, and Bünyamin Şahin. “VE-DEGREES IN SOME GRAPH PRODUCTS”. MATI 1, no. 2 (July 2019): 58-63.
EndNote	Ediz S, Şahin B (July 1, 2019) VE-DEGREES IN SOME GRAPH PRODUCTS. MATI 1 2 58–63.
IEEE	S. Ediz and B. Şahin, “VE-DEGREES IN SOME GRAPH PRODUCTS”, Mati, vol. 1, no. 2, pp. 58–63, 2019.
ISNAD	Ediz, Süleyman - Şahin, Bünyamin. “VE-DEGREES IN SOME GRAPH PRODUCTS”. MATI 1/2 (July 2019), 58-63.
JAMA	Ediz S, Şahin B. VE-DEGREES IN SOME GRAPH PRODUCTS. Mati. 2019;1:58–63.
MLA	Ediz, Süleyman and Bünyamin Şahin. “VE-DEGREES IN SOME GRAPH PRODUCTS”. MATI, vol. 1, no. 2, 2019, pp. 58-63.
Vancouver	Ediz S, Şahin B. VE-DEGREES IN SOME GRAPH PRODUCTS. Mati. 2019;1(2):58-63.