Question

Heptagon is divided into pentagons and hexagons. Prove that there are at least $27$ pentagons in this division.

score 146 · Answer 1 · 2023-09-11 15:28:17

146

Views

Heptagon is divided into pentagons and hexagons. Prove that there are at least $27$ pentagons in this division.

Published on 11 Sep 2023 - 15:28

score 240 · Answer 2 · 2026-03-26 17:33:01

240

Views

Why does a 3-regular planar graph of diameter 3 have at most 12 vertices?

Published on 26 Mar 2026 - 17:33

score 42 · Answer 3 · 2026-03-14 10:13:28

42

Views

An example of Dessin d'Enfants

Published on 14 Mar 2026 - 10:13

score 40 · Answer 4 · 2023-09-22 16:20:19

40

Views

Inductive proof for statement about product of weights in intro to dimer model

Published on 22 Sep 2023 - 16:20

score 125 · Answer 5 · 2026-03-26 17:35:30

125

Views

Maximum number of vertices with degree three in maximal bipartite planar graphs

Published on 26 Mar 2026 - 17:35

score 114 · Answer 6 · 2023-10-01 04:37:50

114

Views

Construct a class of $n$-vertex maximal planar graphs with chromatic number 4 and independence number $\lceil \frac{n}{4} \rceil + 1$

Published on 01 Oct 2023 - 4:37

score 29 · Answer 7 · 2023-10-01 11:46:31

29

Views

Percentage of acute triangles

Published on 01 Oct 2023 - 11:46

score 50 · Answer 8 · 2026-03-26 16:03:57

50

Views

Do all planar rigid graphs contain a triangle?

Published on 26 Mar 2026 - 16:03

score 27 · Answer 9 · 2023-10-15 16:00:06

27

Views

neighbour in maximal planar graph

Published on 15 Oct 2023 - 16:00

score 42 · Answer 10 · 2023-10-20 14:24:08

42

Views

Is there a name for this type of quadrangulations

Published on 20 Oct 2023 - 14:24

score 38 · Answer 11 · 2026-03-26 06:07:06

38

Views

Networks: Covering each edge and starting and ending at the same vertice when repeating edges must be involved.

Published on 26 Mar 2026 - 6:07

score 37 · Answer 12 · 2023-10-23 20:14:46

37

Views

Understanding Proof of Graph Theory Problem

Published on 23 Oct 2023 - 20:14

score 64 · Answer 13 · 2023-10-28 17:55:28

64

Views

Why is the formula of edges$=$nodes$-$1 for modeling radiality very slow?

Published on 28 Oct 2023 - 17:55

score 59 · Answer 14 · 2026-03-26 01:12:00

59

Views

Bicolored triangulations of $S^2$ with certain conditions on degrees of vertices

Published on 26 Mar 2026 - 1:12

score 74 · Answer 15 · 2023-11-04 01:09:11

74

Views

Planar Graph Cycle Proof (boundary walk question)

Published on 04 Nov 2023 - 1:09

List Question

Heptagon is divided into pentagons and hexagons. Prove that there are at least $27$ pentagons in this division.

Why does a 3-regular planar graph of diameter 3 have at most 12 vertices?

An example of Dessin d'Enfants

Inductive proof for statement about product of weights in intro to dimer model

Maximum number of vertices with degree three in maximal bipartite planar graphs

Construct a class of $n$-vertex maximal planar graphs with chromatic number 4 and independence number $\lceil \frac{n}{4} \rceil + 1$

Percentage of acute triangles

Do all planar rigid graphs contain a triangle?

neighbour in maximal planar graph

Is there a name for this type of quadrangulations

Networks: Covering each edge and starting and ending at the same vertice when repeating edges must be involved.

Understanding Proof of Graph Theory Problem

Why is the formula of edges$=$nodes$-$1 for modeling radiality very slow?

Bicolored triangulations of $S^2$ with certain conditions on degrees of vertices

Planar Graph Cycle Proof (boundary walk question)

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