diff --git a/src/core/completions.js b/src/core/completions.js
index 0fa2204..6e22bb4 100644
--- a/src/core/completions.js
+++ b/src/core/completions.js
@@ -6,8 +6,8 @@
 // path — never a query per keystroke. `assembleReferenceData` falls back to the
 // built-in tokenizer sets when the server didn't supply them.
 
-import { SQL_KEYWORDS, SQL_FUNCS } from './sql-highlight.js';
-import { quoteIdent } from './format.js';
+import { SQL_KEYWORDS, SQL_FUNCS, tokenize } from './sql-highlight.js';
+import { quoteIdent, unquoteIdent } from './format.js';
 
 const BUILTIN_KEYWORDS = [...SQL_KEYWORDS];
 const BUILTIN_FUNCS = [...SQL_FUNCS];
@@ -116,28 +116,72 @@ export function buildCompletions(ref, schema) {
  * Returns {word, from, to, qualified, parent, afterFormat}.
  */
 export function completionContext(value, pos) {
-  let s = pos;
-  while (s > 0 && /[A-Za-z0-9_]/.test(value[s - 1])) s--;
-  const word = value.slice(s, pos);
+  // The word being typed is either inside an OPEN backtick-quoted identifier (a
+  // `non-bare-name… still being typed) or a bare [A-Za-z0-9_] run. We use the SQL
+  // tokenizer to find an open backtick so a backtick inside a string/comment (or
+  // an escaped `\`` in a closed name) can't fool us. `from` is where an accepted
+  // candidate replaces to — the opening backtick in the quoted case, so accepting
+  // never doubles the backtick.
+  const open = openBacktickStart(value, pos);
+  let from;
+  let word;
+  if (open >= 0) {
+    from = open;
+    word = value.slice(from + 1, pos); // partial name, unquoted
+  } else {
+    from = pos;
+    while (from > 0 && /[A-Za-z0-9_]/.test(value[from - 1])) from--;
+    word = value.slice(from, pos);
+  }
   // Inside a FORMAT clause? (the identifier just before the word is `FORMAT`) →
   // complete output-format names instead of the general candidate set.
-  let b = s;
+  let b = from;
   while (b > 0 && /\s/.test(value[b - 1])) b--;
   let pf = b;
   while (pf > 0 && /[A-Za-z0-9_]/.test(value[pf - 1])) pf--;
   const afterFormat = value.slice(pf, b).toUpperCase() === 'FORMAT';
+  // Qualified? An identifier (bare OR backtick-quoted) then a dot immediately
+  // before the word. parent is the unquoted table name, matched against item.parent.
   let qualified = false;
   let parent = null;
-  if (value[s - 1] === '.') {
-    let p = s - 1;
-    while (p > 0 && /[A-Za-z0-9_]/.test(value[p - 1])) p--;
-    const name = value.slice(p, s - 1);
+  if (value[from - 1] === '.') {
     // Only qualified when a real identifier precedes the dot. A bare '.' after a
-    // non-identifier (`.col`, `).c`, `count().c`) would otherwise yield parent=''
-    // and an empty dropdown — fall back to normal completion instead (#4 review).
+    // non-identifier (`.col`, `).c`, `count().c`) yields '' → normal completion.
+    const name = identBefore(value, from - 1);
     if (name) { qualified = true; parent = name; }
   }
-  return { word, from: s, to: pos, qualified, parent, afterFormat };
+  return { word, from, to: pos, qualified, parent, afterFormat };
+}
+
+// The start index of an OPEN (still-being-typed) backtick-quoted identifier that
+// contains the caret, or -1. Uses the tokenizer so a backtick inside a string or
+// comment isn't mistaken for an identifier quote, and an escaped `\`` inside a
+// closed name doesn't desync a naive parity count.
+function openBacktickStart(value, pos) {
+  let off = 0;
+  for (const [type, text] of tokenize(value)) {
+    const end = off + text.length;
+    if (off < pos && pos <= end && type === 'ident' && text[0] === '`') {
+      // open = the caret is inside the run before any closing backtick (an
+      // unterminated `name… token, or the caret sits before its trailing `).
+      const closedAtEnd = pos === end && text.length > 1 && text[text.length - 1] === '`';
+      if (!closedAtEnd) return off;
+    }
+    off = end;
+  }
+  return -1;
+}
+
+// The identifier ending at index `end` (exclusive): a backtick-quoted run
+// (returned unquoted/unescaped) or a bare [A-Za-z0-9_] run. '' if neither.
+function identBefore(value, end) {
+  if (value[end - 1] === '`') {
+    const open = value.lastIndexOf('`', end - 2);
+    if (open >= 0) return unquoteIdent(value.slice(open, end));
+  }
+  let p = end;
+  while (p > 0 && /[A-Za-z0-9_]/.test(value[p - 1])) p--;
+  return value.slice(p, end);
 }
 
 /**
diff --git a/src/core/format.js b/src/core/format.js
index 16eb8de..a8fb60a 100644
--- a/src/core/format.js
+++ b/src/core/format.js
@@ -75,6 +75,15 @@ export function qualifyIdent(...parts) {
   return parts.filter((p) => p != null && p !== '').map(quoteIdent).join('.');
 }
 
+/**
+ * Inverse of `quoteIdent` for a single part: strip the surrounding backticks and
+ * unescape `` \` `` / `\\` when `part` is backtick-quoted; bare names pass through.
+ */
+export function unquoteIdent(part) {
+  const s = String(part);
+  return s[0] === '`' ? s.slice(1, -1).replace(/\\(.)/g, '$1') : s;
+}
+
 /**
  * Terminate `sql` so a programmatic full-replace (Format / Insert DDL) leaves the
  * caret on empty space rather than at the end of the last token. The editor's
diff --git a/src/core/schema-graph.js b/src/core/schema-graph.js
index 68b3a23..efdc958 100644
--- a/src/core/schema-graph.js
+++ b/src/core/schema-graph.js
@@ -10,6 +10,8 @@
 // engine_full for Distributed/Buffer/Merge. All best-effort: a miss yields a node
 // with no edge, never a throw.
 
+import { unquoteIdent } from './format.js';
+
 /** Map a ClickHouse engine name to a node kind. */
 export function objectKind(engine) {
   const e = String(engine || '');
@@ -31,12 +33,27 @@ export function parseAstTables(astText) {
   return out;
 }
 
-/** The explicit `TO db.table` target of a materialized view, or null. */
+// One ClickHouse identifier part: a backtick-quoted run (with `\`` / `\\` escapes)
+// or a bare identifier. Used to parse names out of create_table_query, where CH
+// backtick-quotes non-bare names (e.g. TO target_all.`agg.out.parquet`).
+const IDENT_PART = '(?:`(?:[^`\\\\]|\\\\.)*`|[A-Za-z_][A-Za-z0-9_]*)';
+const TO_RE = new RegExp('\\sTO\\s+(' + IDENT_PART + ')(?:\\.(' + IDENT_PART + '))?');
+
+/**
+ * The explicit `TO [db.]table` target of a materialized view as `{ db?, table }`
+ * (raw, backticks stripped — so it matches the row ids), or null for an implicit
+ * (`.inner.*`) MV. Handles backtick-quoted, dotted names.
+ */
 export function parseMvTarget(createTableQuery) {
   const s = String(createTableQuery || '');
-  const head = s.split(/\sAS\s+SELECT/i)[0]; // only look before the SELECT body
-  const m = /\sTO\s+([A-Za-z_][\w]*(?:\.[A-Za-z_][\w]*)?)/.exec(head);
-  return m ? m[1] : null;
+  // The optional TO clause sits between the view name and the column list / AS
+  // SELECT, so only scan up to the first '(' (and before any AS SELECT). This
+  // keeps a stray " TO " inside a column comment or the SELECT body from being
+  // mistaken for the target (which would also suppress the real .inner edge).
+  const head = s.split(/\sAS\s+SELECT/i)[0].split('(')[0];
+  const m = TO_RE.exec(head);
+  if (!m) return null;
+  return m[2] ? { db: unquoteIdent(m[1]), table: unquoteIdent(m[2]) } : { table: unquoteIdent(m[1]) };
 }
 
 /** A dictionary's source as `{ db, table }` (ClickHouse source) or `{ external }`. */
@@ -71,11 +88,6 @@ export function parseEngineRef(engine, engineFull) {
   return null;
 }
 
-// A *reference* whose name MIGHT already be `db.table` (MV target / EXPLAIN AST
-// source) — the dot heuristic decides. Ambiguous for table names that themselves
-// contain dots, but those paths only ever *match against* known ids, so a miss
-// drops an edge rather than mis-linking.
-const qualify = (db, name) => (name && name.includes('.') ? name : db + '.' + name);
 // A reference whose db is always supplied separately (dependencies_*, engine
 // args, table-focus center) — join unconditionally so a dotted table name
 // (`…snappy.parquet`) keeps its db prefix instead of being mistaken for an
@@ -146,17 +158,21 @@ export function buildSchemaGraph(rows, focus) {
       node(dep, byId.has(dep) ? nodes.get(dep).kind : 'table');
       addEdge(id, dep, 'feeds');
     }
-    // fallback: EXPLAIN AST sources of a view/MV → source → this object. Only real
-    // (in-scope) objects count, so CTE/alias names from the AST are dropped.
+    // fallback: EXPLAIN AST sources of a view/MV → source → this object. EXPLAIN
+    // AST prints names unquoted, qualified-or-bare — so resolve against the known
+    // ids both ways (as-is, then db-qualified). A name that matches no real object
+    // (a CTE/alias) is dropped; a CTE that shadows a real same-db table will still
+    // resolve to that table (we can't tell them apart from the name alone).
     if ((kind === 'mv' || kind === 'view') && Array.isArray(t.astTables)) {
       for (const src of t.astTables) {
-        const sid = qualify(t.database, src);
-        if (byId.has(sid)) addEdge(sid, id, kind === 'mv' ? 'feeds' : 'reads');
+        const qid = joinId(t.database, src);
+        const sid = byId.has(src) ? src : (byId.has(qid) ? qid : null);
+        if (sid) addEdge(sid, id, kind === 'mv' ? 'feeds' : 'reads');
       }
     }
     if (kind === 'mv') {
       const target = parseMvTarget(t.create_table_query);
-      const targetId = target ? qualify(t.database, target) : innerByUuid.get(String(t.uuid || ''));
+      const targetId = target ? joinId(target.db || t.database, target.table) : innerByUuid.get(String(t.uuid || ''));
       if (targetId) { node(targetId, byId.has(targetId) ? nodes.get(targetId).kind : 'table'); addEdge(id, targetId, 'writes'); }
     } else if (kind === 'distributed' || kind === 'buffer' || kind === 'merge') {
       const ref = parseEngineRef(t.engine, t.engine_full);
diff --git a/tests/unit/completions.test.js b/tests/unit/completions.test.js
index 0933b59..678991b 100644
--- a/tests/unit/completions.test.js
+++ b/tests/unit/completions.test.js
@@ -130,6 +130,37 @@ describe('completionContext', () => {
     expect(completionContext('.col', 4)).toMatchObject({ word: 'col', qualified: false, parent: null });
     expect(completionContext('count().c', 9)).toMatchObject({ word: 'c', qualified: false, parent: null });
   });
+  it('treats an open backtick as the word start (from = the backtick, word unquoted)', () => {
+    // SELECT * FROM `part   (caret at end) → word 'part', replace range starts at the backtick
+    const v = 'SELECT * FROM `part';
+    expect(completionContext(v, v.length)).toMatchObject({ word: 'part', from: 14, qualified: false });
+  });
+  it('does not mistake a CLOSED backtick run for an open one', () => {
+    const v = 'SELECT * FROM `my tbl` WHERE x';
+    expect(completionContext(v, v.length)).toMatchObject({ word: 'x', qualified: false }); // even # of backticks → bare
+  });
+  it('qualifies a column under a backtick-quoted table (parent unquoted)', () => {
+    const v = 'SELECT `od` FROM x'; // not qualified — no dot
+    expect(completionContext(v, 10)).toMatchObject({ word: 'od', qualified: false });
+    const q = '`weird.tbl`.col';
+    expect(completionContext(q, q.length)).toMatchObject({ word: 'col', qualified: true, parent: 'weird.tbl' });
+  });
+  it('handles an open backtick column under a backtick parent', () => {
+    const v = '`weird.tbl`.`od';
+    expect(completionContext(v, v.length)).toMatchObject({ word: 'od', qualified: true, parent: 'weird.tbl', from: 12 });
+  });
+  it('ignores a backtick inside a string literal (no false open-backtick mode)', () => {
+    const v = "SELECT 'a`b' FROM cl";
+    expect(completionContext(v, v.length)).toMatchObject({ word: 'cl', from: 18, qualified: false });
+  });
+  it('ignores a backtick inside a line comment', () => {
+    const v = 'SELECT 1 -- use `id\nFROM ev';
+    expect(completionContext(v, v.length)).toMatchObject({ word: 'ev', qualified: false });
+  });
+  it('a closed backtick identifier earlier in the query does not flip the mode', () => {
+    const v = 'SELECT `a b` , co';
+    expect(completionContext(v, v.length)).toMatchObject({ word: 'co', qualified: false });
+  });
 });
 
 describe('rankCompletions', () => {
diff --git a/tests/unit/schema-graph.test.js b/tests/unit/schema-graph.test.js
index c83d396..347f126 100644
--- a/tests/unit/schema-graph.test.js
+++ b/tests/unit/schema-graph.test.js
@@ -38,12 +38,24 @@ describe('parseAstTables', () => {
 });
 
 describe('parseMvTarget', () => {
-  it('reads the explicit TO target before the SELECT body', () => {
-    expect(parseMvTarget('CREATE MATERIALIZED VIEW lin.events_mv TO lin.events_daily (`day` Date) AS SELECT toDate(ts) AS day FROM lin.events GROUP BY day')).toBe('lin.events_daily');
+  it('reads the explicit TO target before the SELECT body as {db, table}', () => {
+    expect(parseMvTarget('CREATE MATERIALIZED VIEW lin.events_mv TO lin.events_daily (`day` Date) AS SELECT toDate(ts) AS day FROM lin.events GROUP BY day')).toEqual({ db: 'lin', table: 'events_daily' });
+  });
+  it('strips backticks from a dotted/backticked TO target (real CH create query)', () => {
+    // CH backtick-quotes non-bare names in create_table_query.
+    expect(parseMvTarget('CREATE MATERIALIZED VIEW target_all.`mv-1` TO target_all.`agg.out.parquet` (`id` UInt64) AS SELECT id, count() AS c FROM target_all.`part-0.snappy.parquet` GROUP BY id'))
+      .toEqual({ db: 'target_all', table: 'agg.out.parquet' });
+  });
+  it('returns a single {table} when the TO target is unqualified', () => {
+    expect(parseMvTarget('CREATE MATERIALIZED VIEW lin.mv TO `weird.dst` AS SELECT 1')).toEqual({ table: 'weird.dst' });
   });
   it('returns null for an implicit MV (ENGINE = …, no TO)', () => {
     expect(parseMvTarget('CREATE MATERIALIZED VIEW lin.events_mv2 (`day` Date) ENGINE = SummingMergeTree ORDER BY day AS SELECT toDate(ts) AS day FROM lin.events GROUP BY day')).toBeNull();
   });
+  it('does not treat a stray " TO " in the column list/comment as a target', () => {
+    // implicit MV — the only TO is inside a column COMMENT, after the '(' → ignored
+    expect(parseMvTarget("CREATE MATERIALIZED VIEW lin.mv (`x` String COMMENT 'route TO sink') ENGINE = SummingMergeTree ORDER BY x AS SELECT x FROM s")).toBeNull();
+  });
 });
 
 describe('parseDictSource', () => {
@@ -195,6 +207,32 @@ describe('buildSchemaGraph', () => {
     expect(() => buildSchemaGraph(rows, { kind: 'db', db: 'lin' })).not.toThrow();
   });
 
+  it('links an MV to a backticked/dotted TO target and a dotted AST source (CH 26.5 fixtures)', () => {
+    // Captured from Docker CH 26.5.1: create_table_query backtick-quotes the TO
+    // target; EXPLAIN AST prints the source unquoted (here UNqualified + dotted).
+    const rows = { tables: [
+      T('target_all', 'part-0.snappy.parquet', 'MergeTree'),
+      T('target_all', 'agg.out.parquet', 'SummingMergeTree'),
+      T('target_all', 'mv-1', 'MaterializedView', {
+        astTables: ['part-0.snappy.parquet'], // unqualified, dotted (default-db ref)
+        create_table_query: 'CREATE MATERIALIZED VIEW target_all.`mv-1` TO target_all.`agg.out.parquet` (`id` UInt64) AS SELECT id, count() AS c FROM target_all.`part-0.snappy.parquet` GROUP BY id',
+      }),
+    ], dictionaries: [] };
+    const g = buildSchemaGraph(rows, { kind: 'db', db: 'target_all' });
+    const E = eset(g);
+    expect(E.has('target_all.part-0.snappy.parquet>target_all.mv-1:feeds')).toBe(true); // AST source resolved
+    expect(E.has('target_all.mv-1>target_all.agg.out.parquet:writes')).toBe(true);      // backticked TO target
+    expect(g.nodes.some((n) => n.id === 'target_all.target_all')).toBe(false);           // no phantom from the old bug
+  });
+
+  it('resolves a fully-qualified dotted AST source (CH prints db.table unquoted)', () => {
+    const rows = { tables: [
+      T('target_all', 'part-0.snappy.parquet', 'MergeTree'),
+      T('target_all', 'v', 'View', { astTables: ['target_all.part-0.snappy.parquet'] }),
+    ], dictionaries: [] };
+    expect(eset(buildSchemaGraph(rows, { kind: 'db', db: 'target_all' })).has('target_all.part-0.snappy.parquet>target_all.v:reads')).toBe(true);
+  });
+
   it('table-focus on a dotted-name table keeps the center + its 1-hop (not empty)', () => {
     const rows = { tables: [
       T('target_all', 'part-0.snappy.parquet', 'MergeTree', { dependencies_database: ['target_all'], dependencies_table: ['v_over_parquet'] }),