# Technical Data Extraction: Node Degree Distribution Analysis This document contains a detailed extraction of data from two side-by-side bar charts illustrating the proportion of nodes relative to their degree in two different datasets: **Bitcoin-Alpha** and **Slashdot**. ## 1. General Layout and Components The image consists of two sub-figures, labeled (a) and (b), arranged horizontally. * **Y-Axis (Common):** "Proportion of Node (%)" representing the percentage of the total network nodes. * **X-Axis (Common):** "Degree" representing the number of connections per node, ranging from 1 to 7. * **Visual Elements:** * **Bars:** Light teal/cyan bars with a dotted texture representing discrete data points. * **Trend Line:** A solid blue-grey line overlaid on the bars to show the continuous decay trend. * **Grid:** A dashed grey grid is present in the background of both charts. --- ## 2. Chart (a) Bitcoin-Alpha **Sub-caption:** (a) Bitcoin-Alpha ### Trend Analysis The data follows a power-law or exponential decay distribution. The proportion of nodes is highest at Degree 1 and decreases significantly as the degree increases. The slope is steepest between Degree 1 and 2, gradually flattening out as it approaches Degree 7. ### Data Point Extraction | Degree (X) | Estimated Proportion of Nodes (%) | | :--- | :--- | | 1 | ~36% | | 2 | ~17% | | 3 | ~11% | | 4 | ~7% | | 5 | ~4% | | 6 | ~3.5% | | 7 | ~2% | --- ## 3. Chart (b) Slashdot **Sub-caption:** (b) Slashdot ### Trend Analysis Similar to the Bitcoin-Alpha dataset, this chart shows a heavy-tailed distribution. However, the concentration at Degree 1 is much more pronounced (over 60%), indicating a higher "sparsity" or a larger number of peripheral nodes compared to the Bitcoin-Alpha network. The drop-off after Degree 1 is extremely sharp. ### Data Point Extraction | Degree (X) | Estimated Proportion of Nodes (%) | | :--- | :--- | | 1 | ~63% | | 2 | ~15% | | 3 | ~7% | | 4 | ~4% | | 5 | ~2% | | 6 | ~1.5% | | 7 | ~1% | --- ## 4. Comparative Summary * **Dominance of Low Degree:** In both datasets, nodes with a degree of 1 are the most common. * **Concentration Difference:** The Slashdot dataset is significantly more skewed toward low-degree nodes, with Degree 1 nodes accounting for roughly 63% of the network, whereas in Bitcoin-Alpha, they account for approximately 36%. * **Decay Rate:** The "long tail" of the distribution is visible in both, but the Bitcoin-Alpha network shows a more gradual decline in node proportion as degree increases compared to the rapid drop seen in Slashdot.