BibTex Citation Data :
@article{JFMA10124, author = {Leomarich Casinillo}, title = {ON EVEN-TO-ODD MEAN LABELING OF SOME TREES}, journal = {Journal of Fundamental Mathematics and Applications (JFMA)}, volume = {4}, number = {1}, year = {2021}, keywords = {Trees, even-to-odd mean labeling, even-to-odd mean graph}, abstract = { Let G=(V(G), E(G)) be a connected graph with order |V(G)|=p and size |E(G)|=q. A graph G is said to be even-to-odd mean graph if there exists a bijection function phi:V(G) to \{2, 4, ..., 2p\} such that the induced mapping phi^*:E(G) to \{3, 5, ..., 2p-1\} defined by phi^*(uv)=[phi(u)+phi(v)]/2 for all uv element of E(G) is also bijective. The function is called an even-to-odd mean labeling of graph . This paper aimed to introduce a new technique in graph labeling. Hence, the concepts of even-to-odd mean labeling has been evaluated for some trees. In addition, we examined some properties of tree graphs that admits even-to-odd mean labeling and discussed some important results. }, issn = {2621-6035}, pages = {1--6} doi = {10.14710/jfma.v4i1.10124}, url = {https://ejournal2.undip.ac.id/index.php/jfma/article/view/10124} }
Refworks Citation Data :
Let G=(V(G), E(G)) be a connected graph with order |V(G)|=p and size |E(G)|=q. A graph G is said to be even-to-odd mean graph if there exists a bijection function phi:V(G) to {2, 4, ..., 2p} such that the induced mapping phi^*:E(G) to {3, 5, ..., 2p-1} defined by phi^*(uv)=[phi(u)+phi(v)]/2 for all uv element of E(G) is also bijective. The function is called an even-to-odd mean labeling of graph . This paper aimed to introduce a new technique in graph labeling. Hence, the concepts of even-to-odd mean labeling has been evaluated for some trees. In addition, we examined some properties of tree graphs that admits even-to-odd mean labeling and discussed some important results.
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