2023-11-15

CS1029/practical-2023-11-10/graphs

@@ -0,0 +1,64 @@
+1. Undirected, unlooped, multi-edged: multigraph
+b) directed, looped, multi-edged: directed pseudo-multigraph
+
+2. ac bd
+b) cd cd dd ee ab bc
+
+3. {{paper}}
+
+4. vertices: 6
+   edges: 6
+   degree: a: 2 b: 4 c: 1 f: 3 e: 2 d: 0
+   isolated: d
+   pendant: c
+b) vertices: 5
+   edges: 14
+   degree: a: 6 b: 6 c: 6 d: 5 e: 3
+   isolated: -
+   pendant: -
+
+5. vertices: 4
+   in-a : 2
+   out-a: 2
+   in-b:  3
+   out-b: 4
+   in-c:  2
+   out-c: 1
+   in-d:  1
+   out-d: 1
+
+6. {ac} {bde}
+b) Not bipartite: 3-loop bcf would require 3 sets
+
+7. {{ paper }}
+
+8. a -> abcd
+   b ->    d
+   c -> ab  
+   d ->  bcd
+
+9.    | a b c d
+    --+--------
+    a | 1 1 1 1
+    b | 0 0 0 1
+    c | 1 1 0 0
+    d | 0 1 1 1
+
+10. {{ paper }}
+
+11. v1 -> u1
+    v2 -> u4
+	v3 -> u2
+	v4 -> u5
+	v5 -> u3
+
+12. v1 -> u4
+	v2 -> u3
+	v3 -> u1
+	v4 -> u2
+
+13. PSCL
+ a) YNN4
+ b) N---
+ c) N---
+ d) YYY5