Pathos edge semi-middle graph of a tree
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DOI:
https://doi.org/10.26637/MJM0804/0148Abstract
In this communication, the pathos edge semi-middle graph of a tree is introduced. Its study is concentrated only on trees. We present a characterization of those graphs whose pathos edge semi-middle graph of a tree is planar, outerplanar and minimally nonouterplanar. Further, Also we establish a characterization of graphs whose pathos edge semi-middle graph of a trees are noneularian, hamiltonian and the graphs whose crossing number one and two.
Keywords:
Crossing number, Middle graph, Planar, Semientire graphMathematics Subject Classification:
Mathematics- Pages: 2190-2193
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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Niranjan K M, Rajendra Prasad K C and Venkanagouda M. Goudar. Edge Semi-Middle Graph of a Graph(Submitted).
Stanton RG, Cowan DD and James LO. Graph Theory and Computation of Graphs and its applications. Proceedings of the Louisiana Conference on Combinatorics,:112, 1970.
Venkanagouda M. Goudar. Pathos Vertex Semientire Graph of a tree. International Journal of Applied Mathematical Research., 1(4):666-670, 2012.
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