diff --git a/tests/elements/graph.test.ts b/tests/elements/graph.test.ts
new file mode 100644
index 0000000..01357aa
--- /dev/null
+++ b/tests/elements/graph.test.ts
@@ -0,0 +1,91 @@
+import { afterEach, beforeAll, describe, expect, it } from 'vitest'
+import { labelsFor } from '../../assets/src/elements/labels'
+import { HostFailure, mountWidget, settle } from './host'
+
+// E9 golem15-seo-graph (UI-SPEC C18): the checking line with aria-busy
+// while the request runs, the noRules line per type without Google rules,
+// at most one queued request, and the danger line that keeps the last
+// graph. The first render and the 800 ms re-check are in schema.test.ts.
+
+beforeAll(async () => {
+  await import('../../assets/src/elements/index')
+})
+
+afterEach(() => {
+  document.body.replaceChildren()
+})
+
+const en = labelsFor('en')
+
+const answer = {
+  locale: 'en',
+  url: 'https://example.test/x',
+  graph: { '@context': 'https://schema.org', '@graph': [] },
+  nodes: [
+    { id: 'https://example.test/x#webpage', type: 'WebPage', rules: false, findings: [] },
+    { id: 'https://example.test/x#service', type: 'Service', rules: false, findings: [] },
+    { id: 'https://example.test/x#website', type: 'WebSite', rules: true, findings: [{ level: 'required', property: 'name' }] },
+  ],
+}
+
+describe('E9 golem15-seo-graph states', () => {
+  it('shows the checking line and aria-busy while the request runs, neither after it', async () => {
+    const host = mountWidget('golem15-seo-graph', { attrs: { 'ui-locale': 'en' }, answer: () => answer })
+    await Promise.resolve()
+    expect(host.node.getAttribute('aria-busy')).toBe('true')
+    expect(host.node.querySelector('.seo-graph__checking')!.textContent).toBe(en.graphChecking)
+    await settle()
+    expect(host.node.getAttribute('aria-busy')).toBe('false')
+    expect(host.node.querySelector('.seo-graph__checking')).toBeNull()
+  })
+
+  it('writes one noRules line per node type without Google rules and the finding of the others', async () => {
+    const host = mountWidget('golem15-seo-graph', { attrs: { 'ui-locale': 'en' }, answer: () => answer })
+    await settle()
+    const text = host.node.textContent ?? ''
+    expect(text).toContain(en.noRules.replace(':type', 'WebPage'))
+    expect(text).toContain(en.noRules.replace(':type', 'Service'))
+    expect(text).not.toContain(en.noRules.replace(':type', 'WebSite'))
+    expect(text).toContain('Missing required property “name” (WebSite)')
+    expect(text).not.toContain(en.allGood)
+  })
+
+  it('queues at most one request while one runs', async () => {
+    const host = mountWidget('golem15-seo-graph', { attrs: { 'ui-locale': 'en' }, answer: () => answer })
+    await Promise.resolve()
+    const node = host.node as HTMLElement & { check(): void }
+    node.check()
+    node.check()
+    node.check()
+    await settle()
+    expect(host.posted).toHaveLength(2)
+    expect(host.node.getAttribute('aria-busy')).toBe('false')
+  })
+
+  it('shows the danger line on the first failure and clears it on the next success', async () => {
+    let fail = true
+    const host = mountWidget('golem15-seo-graph', {
+      attrs: { 'ui-locale': 'en' },
+      answer: () => {
+        if (fail) {
+          throw new HostFailure('down')
+        }
+        return answer
+      },
+    })
+    await settle()
+    expect(host.node.querySelector('.seo-graph__error')!.textContent).toBe(en.graphFailed)
+    expect(host.node.getAttribute('aria-busy')).toBe('false')
+    fail = false
+    host.node.querySelector<HTMLButtonElement>('.seo-graph__button')!.click()
+    await settle()
+    expect(host.node.querySelector('.seo-graph__error')).toBeNull()
+    expect(host.node.textContent).toContain('WebSite')
+  })
+
+  it('renders the Polish labels with ui-locale pl', async () => {
+    const host = mountWidget('golem15-seo-graph', { attrs: { 'ui-locale': 'pl' }, answer: () => ({ ...answer, nodes: [answer.nodes[0]] }) })
+    await settle()
+    expect(host.node.textContent).toContain(labelsFor('pl').noRules.replace(':type', 'WebPage'))
+  })
+})
diff --git a/tests/elements/links.test.ts b/tests/elements/links.test.ts
index 62a7506..44fc90c 100644
--- a/tests/elements/links.test.ts
+++ b/tests/elements/links.test.ts
@@ -121,6 +121,22 @@ describe('E10 golem15-seo-links', () => {
     expect(host.node.querySelector('.seo-links__url')!.textContent).toBe('https://example.com/pages/shiitake')
   })
 
+  it('lists at most 10 pages in each list', async () => {
+    const many: LinksData = {
+      ...crawled,
+      orphan: false,
+      out: Array.from({ length: 14 }, (_, i) => ({ phrase: `p${i}`, title: `Out ${i}`, url: `https://example.com/o/${i}` })),
+      in: Array.from({ length: 12 }, (_, i) => ({ phrase: `q${i}`, title: `In ${i}`, adminUrl: `/backend/x/${i}` })),
+    }
+    const host = mountWidget('golem15-seo-links', { attrs: { 'ui-locale': 'en' }, answer: () => many })
+    await settle()
+    expect(host.node.querySelectorAll('.seo-links__list--out .seo-links__row')).toHaveLength(10)
+    expect(host.node.querySelectorAll('.seo-links__list--in .seo-links__row')).toHaveLength(10)
+    expect(host.node.textContent).toContain('Out 9')
+    expect(host.node.textContent).not.toContain('Out 10')
+    expect(host.node.querySelector('.seo-links__orphan')).toBeNull()
+  })
+
   it('asks again on the ML locale switch', async () => {
     const host = mountWidget('golem15-seo-links', { attrs: { 'ui-locale': 'en' }, answer: () => crawled })
     await settle()
diff --git a/tests/elements/parent.test.ts b/tests/elements/parent.test.ts
new file mode 100644
index 0000000..837868e
--- /dev/null
+++ b/tests/elements/parent.test.ts
@@ -0,0 +1,66 @@
+import { afterEach, beforeAll, describe, expect, it } from 'vitest'
+import { labelsFor } from '../../assets/src/elements/labels'
+import { parseParent } from '../../assets/src/elements/parent'
+
+// golem15-seo-parent (P33-23, D-86): the primary category select. The
+// first-render case is in schema.test.ts.
+
+beforeAll(async () => {
+  await import('../../assets/src/elements/index')
+})
+
+afterEach(() => {
+  document.body.replaceChildren()
+})
+
+function mount(value: unknown, attrs: Record<string, string> = {}): HTMLElement & { value: unknown } {
+  const node = document.createElement('golem15-seo-parent') as HTMLElement & { value: unknown }
+  node.setAttribute('ui-locale', 'en')
+  for (const [k, v] of Object.entries(attrs)) {
+    node.setAttribute(k, v)
+  }
+  node.value = value
+  document.body.append(node)
+  return node
+}
+
+describe('parseParent', () => {
+  it('reads the loaded object, a plain stored choice and junk', () => {
+    expect(parseParent('cat:1')).toEqual({ selected: 'cat:1', options: [] })
+    expect(parseParent({ selected: 'cat:2', options: [{ value: 'cat:2', label: '' }, { value: 'cat:3', label: 'Three' }, { label: 'no value' }, null, 'x'] })).toEqual({
+      selected: 'cat:2',
+      options: [
+        { value: 'cat:2', label: 'cat:2' },
+        { value: 'cat:3', label: 'Three' },
+      ],
+    })
+    expect(parseParent({ selected: 5, options: 'nope' })).toEqual({ selected: '', options: [] })
+    expect(parseParent(null)).toEqual({ selected: '', options: [] })
+  })
+})
+
+describe('golem15-seo-parent', () => {
+  it('starts on the empty default option when nothing is stored', () => {
+    const node = mount({ selected: '', options: [{ value: 'cat:1', label: 'Recipes' }] })
+    const select = node.querySelector('select')!
+    expect(select.options[0]!.value).toBe('')
+    expect(select.options[0]!.textContent).toBe(labelsFor('en').primaryDefault)
+    expect(select.value).toBe('')
+    expect(node.value).toBe('')
+  })
+
+  it('keeps its options when the stored choice is set as a string', () => {
+    const node = mount({ selected: '', options: [{ value: 'cat:1', label: 'Recipes' }, { value: 'cat:2', label: 'Mushrooms' }] })
+    node.value = 'cat:2'
+    expect(node.value).toBe('cat:2')
+    expect(node.querySelector('select')!.value).toBe('cat:2')
+    expect(node.querySelectorAll('option')).toHaveLength(3)
+  })
+
+  it('disables the select with the disabled attribute and speaks Polish with ui-locale pl', () => {
+    const node = mount({ selected: '', options: [] }, { disabled: '' })
+    expect(node.querySelector('select')!.disabled).toBe(true)
+    node.setAttribute('ui-locale', 'pl')
+    expect(node.querySelector('option')!.textContent).toBe(labelsFor('pl').primaryDefault)
+  })
+})
diff --git a/tests/elements/schema.test.ts b/tests/elements/schema.test.ts
index bd4c0cb..5983bbe 100644
--- a/tests/elements/schema.test.ts
+++ b/tests/elements/schema.test.ts
@@ -89,6 +89,26 @@ describe('E8 golem15-seo-schema', () => {
     expect(node.querySelector('.seo-schema__status')!.textContent).toBe(labelsFor('en').jsonTooLarge)
   })
 
+  it('renders the page type options and a fixed ProfilePage for profiles', () => {
+    const page = mountSchema('page', '')
+    const en = labelsFor('en')
+    expect([...page.querySelectorAll('option')].map((o) => o.textContent)).toEqual(['Default (WebPage)', en.tWebPage, en.tAboutPage, en.tContactPage, en.tService])
+    document.body.replaceChildren()
+    const profile = mountSchema('profile', '')
+    expect(profile.querySelector('select')).toBeNull()
+    expect(profile.querySelector('.seo-schema__fixed')!.textContent).toBe(en.tProfilePage)
+  })
+
+  it('flags an invalid currency and keeps the Service fields out of a non-Service value', () => {
+    const node = mountSchema('page', JSON.stringify({ type: 'Service', fields: { currency: 'PLN' }, custom: '' }))
+    const currency = node.querySelectorAll<HTMLInputElement>('.seo-schema__grid input')[3]
+    currency.value = 'ZLOTY'
+    currency.dispatchEvent(new Event('input'))
+    expect(node.textContent).toContain(labelsFor('en').currencyInvalid)
+    expect(JSON.parse(node.value).fields.currency).toBe('PLN')
+    expect(serializeValue(parseValue(JSON.stringify({ type: 'AboutPage', fields: {}, custom: '' })))).toBe(JSON.stringify({ type: 'AboutPage', fields: {}, custom: '' }))
+  })
+
   it('shows a single fixed type for collections', () => {
     const node = mountSchema('collection', '')
     expect(node.querySelector('select')).toBeNull()