Author:
Sirajul Haque Ramakrishna Mission Vivekananda Educational and Research Institute, Belur, West Bengal, India

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This article studies a new class of monomial ideals associated with a simple graph 𝐺, called generalized edge ideal, denoted by 𝐼𝑔(𝐺). Assuming that all the vertices 𝑥 have an exponent greater than 1 in 𝐼𝑔(𝐺), we completely characterize the graph 𝐺 for which 𝐼𝑔(𝐺) is integrally closed, and show that this is equivalent to 𝐼𝑔(𝐺) being normal i.e., all integral powers of 𝐼𝑔(𝐺) are integrally clased. We also give a necessary and sufficient condition for IgG=IgG¯ when 𝐺 is the star-shaped graph. Finally, we give a necessary and sufficient condition when the generalized edge ideal of a complete graph is integrally closed.

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STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
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2022  
Web of Science  
Total Cites
WoS
570
Journal Impact Factor 0.7
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Mathematics (Q3)

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without
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0.7
5 Year
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0.8
Journal Citation Indicator 0.65
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Mathematics (Q2)

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Scimago
H-index
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Mathematics (Q3)

Scopus  
Scopus
Cite Score
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Scopus
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General Mathematics 128/387 (67th PCTL)
Scopus
SNIP
1.276

2021  
Web of Science  
Total Cites
WoS
589
Journal Impact Factor 0,739
Rank by Impact Factor Mathematics 229/332
Impact Factor
without
Journal Self Cites
0,710
5 Year
Impact Factor
0,654
Journal Citation Indicator 0,57
Rank by Journal Citation Indicator Mathematics 287/474
Scimago  
Scimago
H-index
26
Scimago
Journal Rank
0,265
Scimago Quartile Score Mathematics (miscellaneous) (Q3)
Scopus  
Scopus
Cite Score
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Scopus
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General Mathematics 193/391 (Q2)
Scopus
SNIP
0,746

2020  
Total Cites 536
WoS
Journal
Impact Factor
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Rank by Mathematics 189/330 (Q3)
Impact Factor  
Impact Factor 0,826
without
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5 Year 1,703
Impact Factor
Journal  0,68
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Rank by Journal  Mathematics 230/470 (Q2)
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Citable 32
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Articles
Total 0
Reviews
Scimago 24
H-index
Scimago 0,307
Journal Rank
Scimago Mathematics (miscellaneous) Q3
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Scopus 139/130=1,1
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Scopus General Mathematics 204/378 (Q3)
Scite Score Rank  
Scopus 1,069
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Days from  85
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to acceptance  
Days from  123
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2019  
Total Cites
WoS
463
Impact Factor 0,468
Impact Factor
without
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0,468
5 Year
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0,413
Immediacy
Index
0,135
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Items
37
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37
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0
Cited
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Citing
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0,00039
Article Influence
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0,196
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in
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100,00
Normalized
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Average
IF
Percentile
13,117
Scimago
H-index
23
Scimago
Journal Rank
0,234
Scopus
Scite Score
76/104=0,7
Scopus
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General Mathematics 247/368 (Q3)
Scopus
SNIP
0,671
Acceptance
Rate
14%

 

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Studia Scientiarum Mathematicarum Hungarica
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