ON THE RANDI’C CHARACTERISTIC POLYNOMIAL OF SPECIFIC GRAPHS

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ALIKHANI SAEID; Ghanbari Nima

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Seminar Paper

Paper Information

Seminar: CONFERENCE ON COMPUTATIONAL GROUP THEORY, COMPUTATIONAL NUMBER THEORY AND APPLICATIONS
Year:2014 | Issue:1

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Title

ON THE RANDI’C CHARACTERISTIC POLYNOMIAL OF SPECIFIC GRAPHS

Author(s)

ALIKHANI SAEID | Ghanbari Nima | Issue Writer Certificate

Keywords

RANDIC MATRIX

RANDIC ENERGY

RANDIC CHARACTERISTIC POLYNOMIAL

EIGENVALUES

Abstract

LET G BE A SIMPLE GRAPH WITH VERTEX SET V (G) ={V1, V2,..., VN}. THE RANDIC MATRIX OF G, DENOTED BY R (G), IS DEFINED AS THE N´N MATRIX WHOSE (I; J) -ENTRY IS (DIDJ) -1/2 IF VI AND VJ ARE ADJACENT AND 0 FOR ANOTHER CASES. LET THE EIGENVALUES OF THE RANDIC MATRIX (FORMULA) WHICH ARE THE ROOTS OF THE RANDIC CHARACTERISTIC POLYNOMIAL (FORMULA). THE RANDIC ENERGY RE OF G IS THE SUM OF ABSOLUTE VALUES OF THE EIGENVALUES OF R (G). IN THIS PAPER WE COMPUTE THE RANDIC CHARACTERISTIC POLYNOMIAL AND THE RANDIC ENERGY FOR SPECIFIC GRAPHS G.

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APA: Copy

ALIKHANI, SAEID, & Ghanbari, Nima. (2014). ON THE RANDI’C CHARACTERISTIC POLYNOMIAL OF SPECIFIC GRAPHS. CONFERENCE ON COMPUTATIONAL GROUP THEORY, COMPUTATIONAL NUMBER THEORY AND APPLICATIONS. SID. https://sid.ir/paper/930284/en

Vancouver: Copy

ALIKHANI SAEID, Ghanbari Nima. ON THE RANDI’C CHARACTERISTIC POLYNOMIAL OF SPECIFIC GRAPHS. 2014. Available from: https://sid.ir/paper/930284/en

IEEE: Copy

SAEID ALIKHANI, and Nima Ghanbari, “ON THE RANDI’C CHARACTERISTIC POLYNOMIAL OF SPECIFIC GRAPHS,” presented at the CONFERENCE ON COMPUTATIONAL GROUP THEORY, COMPUTATIONAL NUMBER THEORY AND APPLICATIONS. 2014, [Online]. Available: https://sid.ir/paper/930284/en

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