Non-isomorphic underlying absolute planar cliques for signed graphs

#N=4
h4_list=[]
h4_list.append(Graph({0:[1,3], 1:[2], 2:[3]}))

h4_graphs=[]
for g in graphs.nauty_geng("4 -c"):
    if not g.is_planar():
        continue
    for h in h4_list:
        if g in h4_list or g.subgraph_search(h) is not None:
            h4_graphs.append(g)
            break

for g in h4_graphs:
    is_base=False
    for h in h4_list:
        if g.is_isomorphic(h):
            is_base=True
            break
    if is_base:
        c='#FF9900'
    else:
        c='#00FF00'
    g.show(layout="planar", vertex_color=c)

#N=5
h5_list=[]
h5_list.append(Graph({0:[1,3,4], 1:[2,4], 2:[3], 3:[4]}))

h5_graphs=[]
for g in graphs.nauty_geng("5 -c"):
    if not g.is_planar():
        continue
    for h in h5_list:
        if g in h5_list or g.subgraph_search(h) is not None:
            h5_graphs.append(g)
            break

for g in h5_graphs:
    is_base=False
    for h in h5_list:
        if g.is_isomorphic(h):
            is_base=True
            break
    if is_base:
        c='#FF9900'
    else:
        c='#00FF00'
    g.show(layout="planar", vertex_color=c)

#N=6
h6_list=[]
h6_list.append(Graph({0:[1,3,5], 1:[2,5], 2:[3,4], 3:[4], 4:[5]}))
h6_list.append(Graph({0:[1,2,3,5], 1:[2,4], 2:[3,4], 3:[4], 4:[5]}))
h6_list.append(Graph({0:[1,4,5], 1:[2,3,5], 2:[3,4], 3:[4], 4:[5]}))

h6_graphs=[]
for g in graphs.nauty_geng("6 -c"):
    if not g.is_planar():
        continue
    for h in h6_list:
        if g in h6_list or g.subgraph_search(h) is not None:
            h6_graphs.append(g)
            break

for g in h6_graphs:
    is_base=False
    for h in h6_list:
        if g.is_isomorphic(h):
            is_base=True
            break
    if is_base:
        c='#FF9900'
    else:
        c='#00FF00'
    g.show(layout="planar", vertex_color=c)

#N=7
h7_list=[]
h7_list.append(Graph({0:[1,2,4,5,6], 1:[2,3], 2:[3,6], 3:[4,5], 4:[5], 5:[6]}))
h7_list.append(Graph({0:[1,3,6], 1:[2,3,6], 2:[3,6], 3:[4,5], 4:[5,6], 5:[6]}))
h7_list.append(Graph({0:[1,3,4,6], 1:[2,3,6], 2:[3,5], 3:[4], 4:[5], 5:[6]}))

h7_graphs=[]
for g in graphs.nauty_geng("7 -c"):
    if not g.is_planar():
        continue
    for h in h7_list:
        if g in h7_list or g.subgraph_search(h) is not None:
            h7_graphs.append(g)
            break

for g in h7_graphs:
    is_base=False
    for h in h7_list:
        if g.is_isomorphic(h):
            is_base=True
            break
    if is_base:
        c='#FF9900'
    else:
        c='#00FF00'
    g.show(layout="planar", vertex_color=c)

#N=8
h8_list=[]
h8_list.append(Graph({0:[1,2,6,7], 1:[2,3,7], 2:[3,4], 3:[4,5], 4:[5,6], 5:[6,7], 6:[7]}))
h8_list.append(Graph({0:[1,5,7], 1:[2,3,4,6,7], 2:[3,5], 3:[4,5], 4:[5], 5:[6,7], 6:[7]}))
h8_list.append(Graph({0:[1,2,5,6,7], 1:[2,4], 2:[3,4,7], 3:[4,6,7], 4:[5,6], 5:[6], 6:[7]}))
h8_list.append(Graph({0:[1,2,3,4,7], 1:[2,6], 2:[3,5,6], 3:[4], 4:[5,6,7], 5:[6], 6:[7]}))

h8_graphs=[]
for g in graphs.nauty_geng("8 -c"):
    if not g.is_planar():
        continue
    for h in h8_list:
        if g in h8_list or g.subgraph_search(h) is not None:
            h8_graphs.append(g)
            break

for g in h8_graphs:
    is_base=False
    for h in h8_list:
        if g.is_isomorphic(h):
            is_base=True
            break
    if is_base:
        c='#FF9900'
    else:
        c='#00FF00'
    g.show(layout="planar", vertex_color=c)