forked from ranksense/Twittorials
-
Notifications
You must be signed in to change notification settings - Fork 1
/
Copy pathInternal linking visualization
388 lines (388 loc) · 563 KB
/
Internal linking visualization
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Internal linking Seo.ipynb",
"provenance": [],
"collapsed_sections": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "r60U5a7uHYVA",
"colab_type": "text"
},
"source": [
"<h1><b>Creating an internal linking visualization using Scrapy and Networkx</h1>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "37UzUxm5IFuX",
"colab_type": "text"
},
"source": [
"Interlinking is a process that where your web page has links to other pages on your website so that a user can click and be redirected to other pages that are related. Internal linking of a website has a significant impact on its ranking in search engines. It helps to reduce the website's bounce rate and increase average session duration by visitor.\n",
"\n",
"To visualize how the web pages on our website are internally linked, we would require all the links on our website and graphically represent them. To fetch all the links, we'll use Scrapy, and further, to visualize, we'll use Networkx.\n",
"\n",
"For our example, we are using our website www.ranksense.com and we will only focus on five web pages within our website that we consider important for this demonstration.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ZIayUBVgL20S",
"colab_type": "text"
},
"source": [
"The first step here is to install Scrapy. To do this, open command prompt on your system."
]
},
{
"cell_type": "code",
"metadata": {
"id": "GeadVZ9_XFoG",
"colab_type": "code",
"colab": {}
},
"source": [
"#Install scrapy using this command\n",
"pip install scrapy"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "bQdzzNMSYqjZ",
"colab_type": "code",
"colab": {}
},
"source": [
"#If you use Anaconda prompt, you can run the following command\n",
"conda install -c conda-forge scrapy"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "dlBB6lLYXXk7",
"colab_type": "text"
},
"source": [
"Once, you have scrapy installed, you will have to find the webpage you would want to fetch the urls from. "
]
},
{
"cell_type": "code",
"metadata": {
"id": "3KtA13JQXqfQ",
"colab_type": "code",
"colab": {}
},
"source": [
"#Using the fetch method, you should add your webpage as a parameter to this function\n",
"fetch(\"https://ranksense.com/\")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "6b9lwNCoYDJE",
"colab_type": "text"
},
"source": [
"You can see the output of the above code using the print command. It will actually scrape the entire web page for you. The output includes your response html, which will also have all the links on the page.\n",
"\n",
""
]
},
{
"cell_type": "code",
"metadata": {
"id": "2gd9CDCYdFSV",
"colab_type": "code",
"colab": {}
},
"source": [
"#To view the response of the scraped web page, you can use the print() command\n",
"print(response.text)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "FUBlg3IrZ375",
"colab_type": "text"
},
"source": [
""
]
},
{
"cell_type": "code",
"metadata": {
"id": "W1ZYvE8haYRY",
"colab_type": "code",
"colab": {}
},
"source": [
"response.xpath(\"//a/@href\").extract()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "nvHLJCTDafBj",
"colab_type": "text"
},
"source": [
"Once you have the response, you will have to extract all the urls on the page. We are extracting them by using the response.xpath() method. This method gets tags from a XPath query. To retrieve all links, we'll use the above command.\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3v7Ar4w_oAYp",
"colab_type": "text"
},
"source": [
"Once, we have all the links from the home page, we will have to identify the important links from the list. Next, we'll go ahead and fetch links from the other web pages on our website. "
]
},
{
"cell_type": "code",
"metadata": {
"id": "Yo552VMSpfXx",
"colab_type": "code",
"colab": {}
},
"source": [
"#Run the following commands to fetch links from all the web pages. \n",
"fetch(\"https://www.ranksense.com/how-it-works/\")\n",
"response.xpath(\"//a/@href\").extract()\n",
"fetch(\"https://www.ranksense.com/pricing/\")\n",
"response.xpath(\"//a/@href\").extract()\n",
"fetch(\"https://www.ranksense.com/enterprise/\")\n",
"response.xpath(\"//a/@href\").extract()\n",
"fetch(\"https://www.ranksense.com/blog/\")\n",
"response.xpath(\"//a/@href\").extract()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "LAjO6LNltvfL",
"colab_type": "text"
},
"source": [
"You can extract all the urls and store them in a spreadsheet. \n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "SvCCrpnw4Iep",
"colab_type": "text"
},
"source": [
"This completes the first part and now we have all the links that are associated with each of the pages. We will consider seven links here.\n",
"\n",
"The second part involves using Networkx to visualize how these web pages are internally linked in the website. "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KknbA29MMdCg",
"colab_type": "text"
},
"source": [
"To create a visualization, we will create a graph to denote the web pages as nodes. We will use the edges as a connection between the web pages. \n",
"\n",
"To start with, we will start by importing networkx and create individual nodes and edges."
]
},
{
"cell_type": "code",
"metadata": {
"id": "DiL-mbNlSJh9",
"colab_type": "code",
"colab": {}
},
"source": [
"#Importing networkx\n",
"import networkx as nx\n",
"\n",
"#Creating a graph object\n",
"G = nx.DiGraph()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "2WpBFfvRSOPd",
"colab_type": "code",
"colab": {}
},
"source": [
"#Creating variables to denote nodes\n",
"\n",
"a = 'Home page'\n",
"b = 'Pricing page'\n",
"c = 'Enerprise page'\n",
"d = 'Our story page'\n",
"e = 'Blog page'"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "pESXu_fJT3B_",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 319
},
"outputId": "e34411ac-e24f-4a78-f273-291d47deaf77"
},
"source": [
"#Adding first node\n",
"G.add_node(a)\n",
"\n",
"#Adding more nodes\n",
"G.add_nodes_from([b,c,d,e])\n",
"\n",
"#Drawing the graph\n",
"nx.draw(G)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "HXi4TzUsT_dc",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 319
},
"outputId": "16608aae-f5e6-4170-dbdc-d6c4eb88c416"
},
"source": [
"#Adding edges\n",
"G.add_edges_from([(a,b),(a,c),(a,d),(a,e),(b,a),(b,c),(b,d),(b,e),(c,a),(c,b),(c,d),(c,e),(d,a),(d,b),(d,c),(d,e),(e,a),(e,b),(e,c),(e,d)])\n",
"\n",
"#Drawing the graph\n",
"nx.draw(G)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "znReQhA3WqX3",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 319
},
"outputId": "2697452d-31d4-468d-a43a-004f632adb22"
},
"source": [
"#Labeling the graph nodes\n",
"nx.draw_circular(G, with_labels=True)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yBIkAh5vYv9Z",
"colab_type": "text"
},
"source": [
"The above graph represents that our website www.ranksense.com is strongly linked internally. All the five webpages that we took under consideration are internally linked. "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RwrHjOVCZyl8",
"colab_type": "text"
},
"source": [
"You can go ahead and scrape any website to see how well it is internally linked."
]
}
]
}