SD-Prime Cordial Labeling of Various Snake Graphs

Anit Vantiya, Apr 5, 2021

I have included the [b]SD-Prime Cordial Labeling[/b] of Various Snake Graphs. These are [b]general graphs[/b], in the sense that one can choose the length [math]n[/math] of path, from which the snake is generated.

Table of Contents

  1. Basic Snake Graphs
    1. SD-Prime Cordial Labeling of Triangular Snake T_n
    2. SD-Prime Cordial Labeling of Alternate Triangular Snake of Type-1 and 2 A(T_n)
    3. SD-Prime Cordial Labeling of Alternate Triangular Snake of Type-3 A(T_n)
    4. SD-Prime Cordial Labeling of Quadrilateral Snake Q_n
    5. SD-Prime Cordial Labeling of Alternate Quadrilateral Snake of Type-1 and 2 A(Q_n)
    6. SD-Prime Cordial Labeling of Alternate Quadrilateral Snake of Type-3 A(Q_n)
    7. SD-Prime Cordial Labeling of Double Triangular Snake DT_n
    8. SD-Prime Cordial Labeling of Double Alternate Triangular Snake of Type-1 and 2 DA(T_n)
    9. SD-Prime Cordial Labeling of Double Alternate Triangular Snake of Type-3 DA(T_n)
    10. SD-Prime Cordial Labeling of Double Quadrilateral Snake DQ_n
    11. SD-Prime Cordial Labeling of Double Alternate Quadrilateral Snake of Type-1 and 2 DA(Q_n)
    12. SD-Prime Cordial Labeling of Double Alternate Quadrilateral Snake of Type-3 DA(Q_n)
  2. Subdivision of Basic Snake Graphs
    1. SD-prime cordial labeling of subdivision of triangular snake graph
    2. SD-Prime Cordial Labeling of Subdivision of Alternate Triangular Snake of Type-1 and 2
    3. SD-Prime Cordial Labeling of Subdivision of Alternate Triangular Snake of Type-3
    4. SD-Prime Cordial Labeling of Subdivision of Quadrilateral Snake
    5. SD-Prime Cordial Labeling of Subdivision of Alternate Quadrilateral Snake of Type-1 or 2
    6. SD-Prime Cordial Labeling of Subdivision of Alternate Quadrilateral Snake of Type-3
    7. SD-Prime Cordial Labeling of Subdivision of Double Triangular Snake
    8. SD-Prime Cordial Labeling of Subdivision of Double Alternate Triangular Snake of Type-1 or 2
    9. SD-Prime Cordial Labeling of Subdivision of Double Alternate Triangular Snake of Type-3
    10. SD-Prime Cordial Labeling of Subdivision of Double Quadrilateral Snake
    11. SD-Prime Cordial Labeling of Subdivision of Double Alternate Quadrilateral Snake of Type-1 or 2
    12. SD-Prime Cordial Labeling of Subdivision of Double Alternate Quadrilateral Snake of Type-3
  3. k-Polygonal Snake and Double k-Polygonal Snake for all k >= 5
    1. SD-Prime Cordial Labeling of k-Polygonal Snake S_nC_k, k >= 5
    2. SD-Prime Cordial Labeling of Double k-Polygonal Snake D(S_nC_k), k >= 5
  4. Alternate k-Polygonal Snakes of Type-1, 2 and 3; for all k >= 5
    1. SD-Prime Cordial Labeling of Alternate k-Polygonal Snakes of Type-1 and Typ-2 A(S_nC_k), k >= 5
    2. SD-Prime Cordial Labeling of Alternate k-Polygonal Snakes of Type-3 A(S_nC_k), k >= 5
  5. 4-Complete Snake K_4 S_n and related graphs
    1. SD-Prime Cordial Labeling of 4-Complete Snake K_4 S_n for n >= 3
    2. SD-Prime Cordial Labeling of Double 4-Complete Snake D(K_4 S_n)
    3. SD-Prime Cordial Labeling of Alternate 4-Complete Snakes A(K_4 S_n) of Type-1 and Typ-2
    4. SD-Prime Cordial Labeling of Alternate 4-Complete Snake A(K_4 S_n) of Type-3
    5. SD-Prime Cordial Labeling of Double Alternate 4-Complete Snakes DA(K_4 S_n) of Type-1 and Typ-2
    6. SD-Prime Cordial Labeling of Double Alternate 4-Complete Snake DA(K_4 S_n) of Type-3
    7. SD-Prime Cordial Labeling of Subdivision of 4-Complete Snake S(K_4 S_n)
    8. SD-Prime Cordial Labeling of Subdivision of Double 4-Complete Snake S(D(K_4 S_n))
    9. SD-Prime Cordial Labeling of Subdivision of Alternate 4-Complete Snakes S(A(K_4 S_n)) of Type-1 and Typ-2
    10. SD-Prime Cordial Labeling of Subdivision of Alternate 4-Complete Snake S(A(K_4 S_n)) of Type-3
    11. SD-Prime Cordial Labeling of Subdivision of Double Alternate 4-Complete Snakes S(DA(K_4 S_n)) of Type-1 and Typ-2
    12. SD-Prime Cordial Labeling of Subdivision of Double Alternate 4-Complete Snake S(DA(K_4 S_n)) of Type-3

1.

Basic Snake Graphs

This chapter includes results of SD-prime cordial labeling for the basic snake graphs: triangular snake [math]T_n[/math], alternate triangular snake [math]A(T_n)[/math], quadrilateral snake [math]Q_n[/math], alternate quadrilateral snake [math]A(Q_n)[/math], double triangular snake [math]DT_n[/math], double alternate triangular snake [math]DA(T_n)[/math], double quadrilateral snake [math]DQ_n[/math] and double alternate quadrilateral snake [math]DA(Q_n)[/math].

  • 1. SD-Prime Cordial Labeling of Triangular Snake T_n
  • 2. SD-Prime Cordial Labeling of Alternate Triangular Snake of Type-1 and 2 A(T_n)
  • 3. SD-Prime Cordial Labeling of Alternate Triangular Snake of Type-3 A(T_n)
  • 4. SD-Prime Cordial Labeling of Quadrilateral Snake Q_n
  • 5. SD-Prime Cordial Labeling of Alternate Quadrilateral Snake of Type-1 and 2 A(Q_n)
  • 6. SD-Prime Cordial Labeling of Alternate Quadrilateral Snake of Type-3 A(Q_n)
  • 7. SD-Prime Cordial Labeling of Double Triangular Snake DT_n
  • 8. SD-Prime Cordial Labeling of Double Alternate Triangular Snake of Type-1 and 2 DA(T_n)
  • 9. SD-Prime Cordial Labeling of Double Alternate Triangular Snake of Type-3 DA(T_n)
  • 10. SD-Prime Cordial Labeling of Double Quadrilateral Snake DQ_n
  • 11. SD-Prime Cordial Labeling of Double Alternate Quadrilateral Snake of Type-1 and 2 DA(Q_n)
  • 12. SD-Prime Cordial Labeling of Double Alternate Quadrilateral Snake of Type-3 DA(Q_n)

1.1.

SD-Prime Cordial Labeling of Triangular Snake T_n

Play/pause, Set manually value of n using mouse, Drag the graph using mouse, Zoom in / zoom out using mouse wheel
– Anit Vantiya

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

1.8.

–

1.9.

–

1.10.

–

1.11.

–

1.12.

–

2.

Subdivision of Basic Snake Graphs

This chapter includes results of SD-prime cordial labeling for the subdivision of basic snake graphs: triangular snake [math]T_n[/math], alternate triangular snake [math]A(T_n)[/math], quadrilateral snake [math]Q_n[/math], alternate quadrilateral snake [math]A(Q_n)[/math], double triangular snake [math]DT_n[/math], double alternate triangular snake [math]DA(T_n)[/math], double quadrilateral snake [math]DQ_n[/math] and double alternate quadrilateral snake [math]DA(Q_n)[/math].

  • 1. SD-prime cordial labeling of subdivision of triangular snake graph
  • 2. SD-Prime Cordial Labeling of Subdivision of Alternate Triangular Snake of Type-1 and 2
  • 3. SD-Prime Cordial Labeling of Subdivision of Alternate Triangular Snake of Type-3
  • 4. SD-Prime Cordial Labeling of Subdivision of Quadrilateral Snake
  • 5. SD-Prime Cordial Labeling of Subdivision of Alternate Quadrilateral Snake of Type-1 or 2
  • 6. SD-Prime Cordial Labeling of Subdivision of Alternate Quadrilateral Snake of Type-3
  • 7. SD-Prime Cordial Labeling of Subdivision of Double Triangular Snake
  • 8. SD-Prime Cordial Labeling of Subdivision of Double Alternate Triangular Snake of Type-1 or 2
  • 9. SD-Prime Cordial Labeling of Subdivision of Double Alternate Triangular Snake of Type-3
  • 10. SD-Prime Cordial Labeling of Subdivision of Double Quadrilateral Snake
  • 11. SD-Prime Cordial Labeling of Subdivision of Double Alternate Quadrilateral Snake of Type-1 or 2
  • 12. SD-Prime Cordial Labeling of Subdivision of Double Alternate Quadrilateral Snake of Type-3

2.1.

SD-prime cordial labeling of subdivision of triangular snake graph

Play/pause, Set manually value of n using mouse, Drag the graph using mouse, Zoom in / zoom out using mouse wheel
– Anit Vantiya

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

2.10.

–

2.11.

–

2.12.

–

3.

k-Polygonal Snake and Double k-Polygonal Snake for all k >= 5

This chapter includes SD-prime cordial labeling of the general graphs k-Polygonal snake and double k-polygonal snake for all [math]k \ge 5[/math]

  • 1. SD-Prime Cordial Labeling of k-Polygonal Snake S_nC_k, k >= 5
  • 2. SD-Prime Cordial Labeling of Double k-Polygonal Snake D(S_nC_k), k >= 5

3.1.

SD-Prime Cordial Labeling of k-Polygonal Snake S_nC_k, k >= 5

Set manually value of n and k using mouse, Drag the graph using mouse, Zoom in / zoom out using mouse wheel, Play / Pause
– Anit Vantiya

3.2.

–

4.

Alternate k-Polygonal Snakes of Type-1, 2 and 3; for all k >= 5

This chapter includes SD-Prime Cordial Labeling of the general graphs alternate k-polygonal snakes of type-1, 2 and 3 for all [math]k>=5, n>=2[/math]

  • 1. SD-Prime Cordial Labeling of Alternate k-Polygonal Snakes of Type-1 and Typ-2 A(S_nC_k), k >= 5
  • 2. SD-Prime Cordial Labeling of Alternate k-Polygonal Snakes of Type-3 A(S_nC_k), k >= 5

4.1.

SD-Prime Cordial Labeling of Alternate k-Polygonal Snakes of Type-1 and Typ-2 A(S_nC_k), k >= 5

– Anit Vantiya

4.2.

–

5.

4-Complete Snake K_4 S_n and related graphs

This chapter includes results:

  • 1. SD-Prime Cordial Labeling of 4-Complete Snake K_4 S_n for n >= 3
  • 2. SD-Prime Cordial Labeling of Double 4-Complete Snake D(K_4 S_n)
  • 3. SD-Prime Cordial Labeling of Alternate 4-Complete Snakes A(K_4 S_n) of Type-1 and Typ-2
  • 4. SD-Prime Cordial Labeling of Alternate 4-Complete Snake A(K_4 S_n) of Type-3
  • 5. SD-Prime Cordial Labeling of Double Alternate 4-Complete Snakes DA(K_4 S_n) of Type-1 and Typ-2
  • 6. SD-Prime Cordial Labeling of Double Alternate 4-Complete Snake DA(K_4 S_n) of Type-3
  • 7. SD-Prime Cordial Labeling of Subdivision of 4-Complete Snake S(K_4 S_n)
  • 8. SD-Prime Cordial Labeling of Subdivision of Double 4-Complete Snake S(D(K_4 S_n))
  • 9. SD-Prime Cordial Labeling of Subdivision of Alternate 4-Complete Snakes S(A(K_4 S_n)) of Type-1 and Typ-2
  • 10. SD-Prime Cordial Labeling of Subdivision of Alternate 4-Complete Snake S(A(K_4 S_n)) of Type-3
  • 11. SD-Prime Cordial Labeling of Subdivision of Double Alternate 4-Complete Snakes S(DA(K_4 S_n)) of Type-1 and Typ-2
  • 12. SD-Prime Cordial Labeling of Subdivision of Double Alternate 4-Complete Snake S(DA(K_4 S_n)) of Type-3

5.1.

SD-Prime Cordial Labeling of 4-Complete Snake K_4 S_n for n >= 3

Set manually values of n using mouse, Drag the graph using mouse, Zoom in / zoom out using mouse wheel, Play / Pause
– Anit Vantiya

5.2.

–

5.3.

–

5.4.

–

5.5.

–

5.6.

–

5.7.

–

5.8.

–

5.9.

–

5.10.

–

5.11.

–

5.12.

–

Information