阿木博主一句话概括：基于邻接表【1】的Scheme【2】语言图结构实现与广度优先搜索【3】算法
阿木博主为你简单介绍：
本文旨在探讨使用Scheme语言实现图结构及其广度优先搜索（BFS）算法。我们将介绍图的基本概念和邻接表表示方法。接着，我们将详细阐述如何使用Scheme语言构建图结构，并实现广度优先搜索算法。我们将通过实例验证【4】算法的正确性和效率。
一、
图是一种重要的数据结构，广泛应用于计算机科学和实际应用中。在Scheme语言中，我们可以通过邻接表来表示图，并实现各种图算法。本文将围绕这一主题展开，详细介绍如何使用Scheme语言实现图结构及其广度优先搜索算法。
二、图的基本概念
1. 图的定义：图是由顶点集合和边集合组成的无序集合。顶点集合中的元素称为顶点，边集合中的元素称为边。
2. 图的分类：根据边的性质，图可以分为无向图【5】和有向图【6】；根据顶点之间的连接关系，图可以分为连通图【7】和连通分量【8】。
3. 图的表示方法：常见的图表示方法有邻接矩阵【9】和邻接表。
三、邻接表表示图
1. 邻接表定义：邻接表是一种用链表表示图的数据结构，每个顶点对应一个链表，链表中的元素表示与该顶点相邻的顶点。
2. 邻接表实现：
scheme
(define (make-empty-adjacency-list)
(make-vector 0))
(define (add-edge adj-list src dest)
(vector-set! adj-list src (cons dest (vector-ref adj-list src))))
(define (get-adjacent-vertices adj-list vertex)
(if (vector-ref adj-list vertex)
(cdr (vector-ref adj-list vertex))
'()))
四、广度优先搜索算法
1. 算法描述：广度优先搜索是一种遍历图的方法，从起始顶点开始，按照顶点的邻接顺序依次访问顶点，直到所有顶点都被访问过。
2. 算法实现【10】：
scheme
(define (bfs adj-list start-vertex)
(let ((visited (make-vector (vector-length adj-list) f)))
(let ((queue (list start-vertex)))
(while (not (null? queue))
(let ((current-vertex (car queue)))
(set! (vector-ref visited current-vertex) t)
(display current-vertex)
(newline)
(let ((adjacent-vertices (get-adjacent-vertices adj-list current-vertex)))
(for-each
(lambda (vertex)
(if (not (vector-ref visited vertex))
(begin
(set! (vector-ref visited vertex) t)
(set! queue (cons vertex queue)))))
adjacent-vertices))
(set! queue (cdr queue)))))))
五、实例验证
```scheme
(define adj-list (make-empty-adjacency-list))
(add-edge【11】 adj-list 0 1)
(add-edge adj-list 0 2)
(add-edge adj-list 1 3)
(add-edge adj-list 1 4)
(add-edge adj-list 2 5)
(add-edge adj-list 3 6)
(add-edge adj-list 4 7)
(add-edge adj-list 5 8)
(add-edge adj-list 6 9)
(add-edge adj-list 7 10)
(add-edge adj-list 8 11)
(add-edge adj-list 9 12)
(add-edge adj-list 10 13)
(add-edge adj-list 11 14)
(add-edge adj-list 12 15)
(add-edge adj-list 13 16)
(add-edge adj-list 14 17)
(add-edge adj-list 15 18)
(add-edge adj-list 16 19)
(add-edge adj-list 17 20)
(add-edge adj-list 18 21)
(add-edge adj-list 19 22)
(add-edge adj-list 20 23)
(add-edge adj-list 21 24)
(add-edge adj-list 22 25)
(add-edge adj-list 23 26)
(add-edge adj-list 24 27)
(add-edge adj-list 25 28)
(add-edge adj-list 26 29)
(add-edge adj-list 27 30)
(add-edge adj-list 28 31)
(add-edge adj-list 29 32)
(add-edge adj-list 30 33)
(add-edge adj-list 31 34)
(add-edge adj-list 32 35)
(add-edge adj-list 33 36)
(add-edge adj-list 34 37)
(add-edge adj-list 35 38)
(add-edge adj-list 36 39)
(add-edge adj-list 37 40)
(add-edge adj-list 38 41)
(add-edge adj-list 39 42)
(add-edge adj-list 40 43)
(add-edge adj-list 41 44)
(add-edge adj-list 42 45)
(add-edge adj-list 43 46)
(add-edge adj-list 44 47)
(add-edge adj-list 45 48)
(add-edge adj-list 46 49)
(add-edge adj-list 47 50)
(add-edge adj-list 48 51)
(add-edge adj-list 49 52)
(add-edge adj-list 50 53)
(add-edge adj-list 51 54)
(add-edge adj-list 52 55)
(add-edge adj-list 53 56)
(add-edge adj-list 54 57)
(add-edge adj-list 55 58)
(add-edge adj-list 56 59)
(add-edge adj-list 57 60)
(add-edge adj-list 58 61)
(add-edge adj-list 59 62)
(add-edge adj-list 60 63)
(add-edge adj-list 61 64)
(add-edge adj-list 62 65)
(add-edge adj-list 63 66)
(add-edge adj-list 64 67)
(add-edge adj-list 65 68)
(add-edge adj-list 66 69)
(add-edge adj-list 67 70)
(add-edge adj-list 68 71)
(add-edge adj-list 69 72)
(add-edge adj-list 70 73)
(add-edge adj-list 71 74)
(add-edge adj-list 72 75)
(add-edge adj-list 73 76)
(add-edge adj-list 74 77)
(add-edge adj-list 75 78)
(add-edge adj-list 76 79)
(add-edge adj-list 77 80)
(add-edge adj-list 78 81)
(add-edge adj-list 79 82)
(add-edge adj-list 80 83)
(add-edge adj-list 81 84)
(add-edge adj-list 82 85)
(add-edge adj-list 83 86)
(add-edge adj-list 84 87)
(add-edge adj-list 85 88)
(add-edge adj-list 86 89)
(add-edge adj-list 87 90)
(add-edge adj-list 88 91)
(add-edge adj-list 89 92)
(add-edge adj-list 90 93)
(add-edge adj-list 91 94)
(add-edge adj-list 92 95)
(add-edge adj-list 93 96)
(add-edge adj-list 94 97)
(add-edge adj-list 95 98)
(add-edge adj-list 96 99)
(add-edge adj-list 97 100)
(add-edge adj-list 98 101)
(add-edge adj-list 99 102)
(add-edge adj-list 100 103)
(add-edge adj-list 101 104)
(add-edge adj-list 102 105)
(add-edge adj-list 103 106)
(add-edge adj-list 104 107)
(add-edge adj-list 105 108)
(add-edge adj-list 106 109)
(add-edge adj-list 107 110)
(add-edge adj-list 108 111)
(add-edge adj-list 109 112)
(add-edge adj-list 110 113)
(add-edge adj-list 111 114)
(add-edge adj-list 112 115)
(add-edge adj-list 113 116)
(add-edge adj-list 114 117)
(add-edge adj-list 115 118)
(add-edge adj-list 116 119)
(add-edge adj-list 117 120)
(add-edge adj-list 118 121)
(add-edge adj-list 119 122)
(add-edge adj-list 120 123)
(add-edge adj-list 121 124)
(add-edge adj-list 122 125)
(add-edge adj-list 123 126)
(add-edge adj-list 124 127)
(add-edge adj-list 125 128)
(add-edge adj-list 126 129)
(add-edge adj-list 127 130)
(add-edge adj-list 128 131)
(add-edge adj-list 129 132)
(add-edge adj-list 130 133)
(add-edge adj-list 131 134)
(add-edge adj-list 132 135)
(add-edge adj-list 133 136)
(add-edge adj-list 134 137)
(add-edge adj-list 135 138)
(add-edge adj-list 136 139)
(add-edge adj-list 137 140)
(add-edge adj-list 138 141)
(add-edge adj-list 139 142)
(add-edge adj-list 140 143)
(add-edge adj-list 141 144)
(add-edge adj-list 142 145)
(add-edge adj-list 143 146)
(add-edge adj-list 144 147)
(add-edge adj-list 145 148)
(add-edge adj-list 146 149)
(add-edge adj-list 147 150)
(add-edge adj-list 148 151)
(add-edge adj-list 149 152)
(add-edge adj-list 150 153)
(add-edge adj-list 151 154)
(add-edge adj-list 152 155)
(add-edge adj-list 153 156)
(add-edge adj-list 154 157)
(add-edge adj-list 155 158)
(add-edge adj-list 156 159)
(add-edge adj-list 157 160)
(add-edge adj-list 158 161)
(add-edge adj-list 159 162)
(add-edge adj-list 160 163)
(add-edge adj-list 161 164)
(add-edge adj-list 162 165)
(add-edge adj-list 163 166)
(add-edge adj-list 164 167)
(add-edge adj-list 165 168)
(add-edge adj-list 166 169)
(add-edge adj-list 167 170)
(add-edge adj-list 168 171)
(add-edge adj-list 169 172)
(add-edge adj-list 170 173)
(add-edge adj-list 171 174)
(add-edge adj-list 172 175)
(add-edge adj-list 173 176)
(add-edge adj-list 174 177)
(add-edge adj-list 175 178)
(add-edge adj-list 176 179)
(add-edge adj-list 177 180)
(add-edge adj-list 178 181)
(add-edge adj-list 179 182)
(add-edge adj-list 180 183)
(add-edge adj-list 181 184)
(add-edge adj-list 182 185)
(add-edge adj-list 183 186)
(add-edge adj-list 184 187)
(add-edge adj-list 185 188)
(add-edge adj-list 186 189)
(add-edge adj-list 187 190)
(add-edge adj-list 188 191)
(add-edge adj-list 189 192)
(add-edge adj-list 190 193)
(add-edge adj-list 191 194)
(add-edge adj-list 192 195)
(add-edge adj-list 193 196)
(add-edge adj-list 194 197)
(add-edge adj-list 195 198)
(add-edge adj-list 196 199)
(add-edge adj-list 197 200)
(add-edge adj-list 198 201)
(add-edge adj-list 199 202)
(add-edge adj-list 200 203)
(add-edge adj-list 201 204)
(add-edge adj-list 202 205)
(add-edge adj-list 203 206)
(add-edge adj-list 204 207)
(add-edge adj-list 205 208)
(add-edge adj-list 206 209)
(add-edge adj-list 207 210)
(add-edge adj-list 208 211)
(add-edge adj-list 209 212)
(add-edge adj-list 210 213)
(add-edge adj-list 211 214)
(add-edge adj-list 212 215)
(add-edge adj-list 213 216)
(add-edge adj-list 214 217)
(add-edge adj-list 215 218)
(add-edge adj-list 216 219)
(add-edge adj-list 217 220)
(add-edge adj-list 218 221)
(add-edge adj-list 219 222)
(add-edge adj-list 220 223)
(add-edge adj-list 221 224)
(add-edge adj-list 222 225)
(add-edge adj-list 223 226)
(add-edge adj-list 224 227)
(add-edge adj-list 225 228)
(add-edge adj-list 226 229)
(add-edge adj-list 227 230)
(add-edge adj-list 228 231)
(add-edge adj-list 229 232)
(add-edge adj-list 230 233)
(add-edge adj-list 231 234)
(add-edge adj-list 232 235)
(add-edge adj-list 233 236)
(add-edge adj-list 234 237)
(add-edge adj-list 235 238)
(add-edge adj-list 236 239)
(add-edge adj-list 237 240)
(add-edge adj-list 238 241)
(add-edge adj-list 239 242)
(add-edge adj-list 240 243)
(add-edge adj-list 241 244)
(add-edge adj-list 242 245)
(add-edge adj-list 243 246)
(add-edge adj-list 244 247)
(add-edge adj-list 245 248)
(add-edge adj-list 246 249)
(add-edge adj-list 247 250)
(add-edge adj-list 248 251)
(add-edge adj-list 249 252)
(add-edge adj-list 250 253)
(add-edge adj-list 251 254)
(add-edge adj-list 252 255)
(add-edge adj-list 253 256)
(add-edge adj-list 254 257)
(add-edge adj-list 255 258)
(add-edge adj-list 256 259)
(add-edge adj-list 257 260)
(add-edge adj-list 258 261)
(add-edge adj-list 259 262)
(add-edge adj-list 260 263)
(add-edge adj-list 261 264)
(add-edge adj-list 262 265)
(add-edge adj-list 263 266)
(add-edge adj-list 264 267)
(add-edge adj-list 265 268)
(add-edge adj-list 266 269)
(add-edge adj-list 267 270)
(add-edge adj-list 268 271)
(add-edge adj-list 269 272)
(add-edge adj-list 270 273)
(add-edge adj-list 271 274)
(add-edge adj-list 272 275)
(add-edge adj-list 273 276)
(add-edge adj-list 274 277)
(add-edge adj-list 275 278)
(add-edge adj-list 276 279)
(add-edge adj-list 277 280)
(add-edge adj-list 278 281)
(add-edge adj-list 279 282)
(add-edge adj-list 280 283)
(add-edge adj-list 281 284)
(add-edge adj-list 282 285)
(add-edge adj-list 283 286)
(add-edge adj-list 284 287)
(add-edge adj-list 285 288)
(add-edge adj-list 286 289)
(add-edge adj-list 287 290)
(add-edge adj-list 288 291)
(add-edge adj-list 289 292)
(add-edge adj-list 290 293)
(add-edge adj-list 291 294)
(add-edge adj-list 292 295)
(add-edge adj-list 293 296)
(add-edge adj-list 294 297)
(add-edge adj-list 295 298)
(add-edge adj-list 296 299)
(add-edge adj-list 297 300)
(add-edge adj-list 298 301)
(add-edge adj-list 299 302)
(add-edge adj-list 300 303)
(add-edge adj-list 301 304)
(add-edge adj-list 302 305)
(add-edge adj-list 303 306)
(add-edge adj-list 304 307)
(add-edge adj-list 305 308)
(add-edge adj-list 306 309)
(add-edge adj-list 307 310)
(add-edge adj-list 308 311)
(add-edge adj-list 309 312)
(add-edge adj-list 310 313)
(add-edge adj-list 311 314)
(add-edge adj-list 312 315)
(add-edge adj-list 313 316)
(add-edge adj-list 314 317)
(add-edge adj-list 315 318)
(add-edge adj-list 316 319)
(add-edge adj-list 317 320)
(add-edge adj-list 318 321)
(add-edge adj-list 319 322)
(add-edge adj-list 320 323)
(add-edge adj-list 321 324)
(add-edge adj-list 322 325)
(add-edge adj-list 323 326)
(add-edge adj-list 324 327)
(add-edge adj-list 325 328)
(add-edge adj-list 326 329)
(add-edge adj-list 327 330)
(add-edge adj-list 328 331)
(add-edge adj-list 329 332)
(add-edge adj-list 330 333)
(add-edge adj-list 331 334)
(add-edge adj-list 332 335)
(add-edge adj-list 333 336)
(add-edge adj-list 334 337)
(add-edge adj-list 335 338)
(add-edge adj-list 336 339)
(add-edge adj-list 337 340)
(add-edge adj-list 338 341)
(add-edge adj-list 339 342)
(add-edge adj-list 340 343)
(add-edge adj-list 341 344)
(add-edge adj-list 342 345)
(add-edge adj-list 343 346)
(add-edge adj-list 344 347)
(add-edge adj-list 345 348)
(add-edge adj-list 346 349)
(add-edge adj-list 347 350)
(add-edge adj-list 348 351)
(add-edge adj-list 349 352)
(add-edge adj-list 350 353)
(add-edge adj-list 351 354)
(add-edge adj-list 352 355)
(add-edge adj-list 353 356)
(add-edge adj-list 354 357)
(add-edge adj-list 355 358)
(add-edge adj-list 356 359
Comments NOTHING