Structure for a graph with average genus

2006 ◽  
Vol 21 (1-2) ◽  
pp. 45-55 ◽  
Author(s):  
Yichao Chen ◽  
Yanpei Liu ◽  
Rongxia Hao
Keyword(s):  
Average Genus

scholarly journals Lower Bounds for the Average Genus of a CF-graph

10.37236/422 ◽  
2010 ◽  
Vol 17 (1) ◽  
Author(s):  
Yichao Chen
Keyword(s):  
Lower Bound ◽  
Linear Function ◽  
Lower Bounds ◽  
Betti Number ◽  
Maximum Genus ◽  
Simple Graphs ◽  
Structure Theorems ◽  
Average Genus

CF-graphs form a class of multigraphs that contains all simple graphs. We prove a lower bound for the average genus of a CF-graph which is a linear function of its Betti number. A lower bound for average genus in terms of the maximum genus and some structure theorems for graphs with a given average genus are also provided.

scholarly journals The average genus for bouquets of circles and dipoles

2021 ◽  
Author(s):  
Jinlian Zhang ◽  
Xuhui Peng ◽  
Yichao Chen
Keyword(s):  
Average Genus

On the average genus of the random graph

1995 ◽  
Vol 20 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Saul Stahl
Keyword(s):  
Random Graph ◽  
Average Genus

Remarks on the lower bounds for the average genus

2011 ◽  
Vol 27 (3) ◽  
pp. 517-526
Author(s):  
Yi-chao Chen
Keyword(s):  
Lower Bounds ◽  
Average Genus

scholarly journals Bounds for the average genus of the vertex-amalgamation of graphs

1995 ◽  
Vol 142 (1-3) ◽  
pp. 235-245 ◽  
Author(s):  
Saul Stahl
Keyword(s):  
Average Genus

scholarly journals Kuratowski-Type Theorems for Average Genus

1993 ◽  
Vol 57 (1) ◽  
pp. 100-121 ◽  
Author(s):  
J. Chen ◽  
J.L. Gross
Keyword(s):  
Average Genus

scholarly journals Limit points for average genus. I. 3-Connected and 2-connected simplicial graphs

1992 ◽  
Vol 55 (1) ◽  
pp. 83-103 ◽  
Author(s):  
Jianer Chen ◽  
Jonathan L Gross
Keyword(s):  
Limit Points ◽  
Average Genus

Diatoms in cryoconite holes and adjacent proglacial freshwater sediments, Nordenskiöld glacier (Spitsbergen, High Arctic)

2015 ◽  
Vol 5 (2) ◽  
pp. 112-133 ◽  
Author(s):  
Petra Vinšová ◽  
Eveline Pinseel ◽  
Tyler J. Kohler ◽  
Bart Van De Vijver ◽  
Jakub D. Žárský ◽  
...  
Keyword(s):  
High Arctic ◽  
Species Pool ◽  
Aquatic Habitats ◽  
Diatom Flora ◽  
Diatom Communities ◽  
Genus Richness ◽  
Cryoconite Hole ◽  
Extreme Habitats ◽  
Average Genus ◽  
Suitable Environment

Cryoconite holes are small, extreme habitats, widespread in the ablation zones of gla-ciers worldwide. They can provide a suitable environment for microorganisms including bacteria, cyanobacteria, algae, fungi, and invertebrates. Diatoms have been previously recovered from cryoconite holes of Greenland and of Svalbard, and recent findings from Antarctica suggest that cryoconite holes may harbor a unique diatom flora distinct from other aquatic habitats nearby. In the present study, we characterize the diatom communi-ties of Nordenskiöld glacier cryoconite holes in Billefjorden (Svalbard, Spitsbergen), and multivariate approaches were used to compare them with three freshwater localities in the immediate vicinity to investigate possible sources of the species pool. We found cryoconite holes to have similar or greater average genus-richness than adjacent lake/ ponds habitats, even though lower numbers of valves were recovered. Overall, cryoconite hole diatom communities differed significantly from those observed in lakes, suggesting that other sources actively contribute to these communities than nearby lakes alone. This further suggests that (i) diatoms present in cryoconite might not exclusively originate from aquatic habitats, but also from (semi-) terrestrial ones; and (ii) that a much wider area than the immediate surroundings should be considered as a possible source for cryoconite diatom flora.

On the average genus of a graph

1993 ◽  
Vol 9 (2-4) ◽  
pp. 153-162 ◽  
Author(s):  
Jonathan L. Gross ◽  
E. Ward Klein ◽  
Robert G. Rieper
Keyword(s):  
Average Genus

Lower bounds for the average genus

1995 ◽  
Vol 19 (3) ◽  
pp. 281-296 ◽  
Author(s):  
Jianer Chen ◽  
Jonathan L. Gross ◽  
Robert G. Rieper
Keyword(s):  
Lower Bounds ◽  
Average Genus
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