LE-DEGREE SUM ENERGY OF GRAPH
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In the midst of 20th century, Ivan Gutman invented the concept of energy of graph which is depends on the numbers 0 (if there is no edge between two vertices) and 1 (If two vertices are adjacent) in adjacency matrix. In the current paper we are introducing a degree based new matrix and energy. We define the matrix as follows (i, j)-entry is equal to ln(di+dj)+e(di+dj ) if i ≠ j and 0 otherwise.(where di, dj be the degree of its ith and jth vertices respectively) In this paper we compute the LE-Degree sum energy for graphs and some graph op- erations. Few important properties and bounds for DSLEE(G) are also discussed.
Abstract
In the midst of 20th century, Ivan Gutman invented the concept of energy of graph which is depends on the numbers 0 (if there is no edge between two vertices) and 1 (If two vertices are adjacent) in adjacency matrix. In the current paper we are introducing a degree based new matrix and energy. We define the matrix as follows (i, j)-entry is equal to ln(di+dj)+e(di+dj ) if i ≠ j and 0 otherwise.(where di, dj be the degree of its ith and jth vertices respectively) In this paper we compute the LE-Degree sum energy for graphs and some graph op- erations. Few important properties and bounds for DSLEE(G) are also discussed.
참고문헌 (9)
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