Indagationes Mathematicae, ( ISI ), Volume (25), No (3), Year (2014-4) , Pages (525-533)

Title : ( On power graphs of finite groups with forbidden induced subgraphs )

Authors: alireza doostabadi , Ahmad Erfanian , Mohammad Farrokhi Derakhshandeh Ghouchan ,

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The power graph P (G) of a finite group G is a graph whose vertex set is the group G and distinct elements x ,y ∈ G are adjacent if one is a power of the other, that is, x and y are adjacent if x ∈ ⟨y⟩or y ∈⟨x ⟩. We characterize all finite groups G whose power graphs are claw-free, K1,4-free or C4-free.

Keywords

Power graph; Claw; Star; Cycle; Forbidden
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@article{paperid:1047076,
author = {Doostabadi, Alireza and Erfanian, Ahmad and Farrokhi Derakhshandeh Ghouchan, Mohammad},
title = {On power graphs of finite groups with forbidden induced subgraphs},
journal = {Indagationes Mathematicae},
year = {2014},
volume = {25},
number = {3},
month = {April},
issn = {0019-3577},
pages = {525--533},
numpages = {8},
keywords = {Power graph; Claw; Star; Cycle; Forbidden subgraph},
}

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%0 Journal Article
%T On power graphs of finite groups with forbidden induced subgraphs
%A Doostabadi, Alireza
%A Erfanian, Ahmad
%A Farrokhi Derakhshandeh Ghouchan, Mohammad
%J Indagationes Mathematicae
%@ 0019-3577
%D 2014

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