Graphs <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e142" altimg="si34.svg"><mml:mi>G</mml:mi></mml:math> with nullity <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e147" altimg="si35.svg"><mml:mrow><mml:mn>2</mml:mn><mml:mi>c</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>G</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak" linebreakstyle="after">+</mml:mo><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>G</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo linebreak="goodbreak" linebreakstyle="after">−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>-Reference-Cited by-同舟云学术

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Graphs G with nullity 2c(G)+p(G)−1

Published:2022-04 Issue: Volume:311 Page:38-58
ISSN:0166-218X
Container-title:Discrete Applied Mathematics
language:en
Short-container-title:Discrete Applied Mathematics

Author:

Chang Sarula,Tam Bit-Shun,Li Jianxi,Zheng Yirong

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference20 articles.

1. The leaf-free graphs with nullity 2c(G)−1;Chang;Discr. Appl. Math.,2020

2. Spectra of Graphs — Theory and Applications;Cvetković,1979

3. The algebraic multiplicity of the number zero in the spectrum of a bipartite graph;Cvetković;Mat. Vesnik (Beograd),1972

4. Graph theory and molecular orbitals II;Cvetković;Croat. Chem. Acta.,1972

5. On the nullity of the graphs with pendant trees;Gong;Lin. Alg. Appl.,2010

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1. The eigenvalue multiplicity of line graphs;Linear Algebra and its Applications;2024-12

2. The gap between the rank of a complex unit gain graph and its underlying graph;Discrete Applied Mathematics;2024-11

3. A characterization for a graph with an eigenvalue of multiplicity 2c(G)+p(G)−1;Discrete Mathematics;2024-07

4. On connected T-gain graphs with rank equal to girth;Linear Algebra and its Applications;2024-05

5. Eigenvalue multiplicity of graphs with given cyclomatic number and given number of quasi-pendant vertices;Discrete Applied Mathematics;2024-04

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